Examples

1515 , 5050
Step 1
Find the common factors for the numerical part:
15,5015,50
Step 2
The factors for 1515 are 1,3,5,151,3,5,15.
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Step 2.1
The factors for 1515 are all numbers between 11 and 1515, which divide 1515 evenly.
Check numbers between 11 and 1515
Step 2.2
Find the factor pairs of 1515 where xy=15xy=15.
xy11535xy11535
Step 2.3
List the factors for 1515.
1,3,5,151,3,5,15
1,3,5,151,3,5,15
Step 3
The factors for 5050 are 1,2,5,10,25,501,2,5,10,25,50.
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Step 3.1
The factors for 5050 are all numbers between 11 and 5050, which divide 5050 evenly.
Check numbers between 11 and 5050
Step 3.2
Find the factor pairs of 5050 where xy=50xy=50.
xy150225510xy150225510
Step 3.3
List the factors for 5050.
1,2,5,10,25,501,2,5,10,25,50
1,2,5,10,25,501,2,5,10,25,50
Step 4
List all the factors for 15,5015,50 to find the common factors.
1515: 1,3,5,151,3,5,15
5050: 1,2,5,10,25,501,2,5,10,25,50
Step 5
The common factors for 15,50 are 1,5.
1,5
Step 6
The GCF (HCF) of the numerical factors 1,5 is 5.
5
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