What is the Greatest Common Factor of 11725 and 11732?

Greatest common factor (GCF) of 11725 and 11732 is 7.

GCF(11725,11732) = 7

We will now calculate the prime factors of 11725 and 11732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11725 and 11732.

How to find the GCF of 11725 and 11732?

We will first find the prime factorization of 11725 and 11732. After we will calculate the factors of 11725 and 11732 and find the biggest common factor number .

Step-1: Prime Factorization of 11725

Prime factors of 11725 are 5, 7, 67. Prime factorization of 11725 in exponential form is:

11725 = 5² × 7¹ × 67¹

Step-2: Prime Factorization of 11732

Prime factors of 11732 are 2, 7, 419. Prime factorization of 11732 in exponential form is:

11732 = 2² × 7¹ × 419¹

Step-3: Factors of 11725

List of positive integer factors of 11725 that divides 11725 without a remainder.

1, 5, 7, 25, 35, 67, 175, 335, 469, 1675, 2345

Step-4: Factors of 11732

List of positive integer factors of 11732 that divides 11725 without a remainder.

1, 2, 4, 7, 14, 28, 419, 838, 1676, 2933, 5866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11725 and 11732. The biggest common factor number is the GCF number.
So the greatest common factor 11725 and 11732 is 7.

Also check out the Least Common Multiple of 11725 and 11732