What is the Greatest Common Factor of 96239 and 96252?

Greatest common factor (GCF) of 96239 and 96252 is 13.

GCF(96239,96252) = 13

We will now calculate the prime factors of 96239 and 96252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96239 and 96252.

How to find the GCF of 96239 and 96252?

We will first find the prime factorization of 96239 and 96252. After we will calculate the factors of 96239 and 96252 and find the biggest common factor number .

Step-1: Prime Factorization of 96239

Prime factors of 96239 are 11, 13, 673. Prime factorization of 96239 in exponential form is:

96239 = 11¹ × 13¹ × 673¹

Step-2: Prime Factorization of 96252

Prime factors of 96252 are 2, 3, 13, 617. Prime factorization of 96252 in exponential form is:

96252 = 2² × 3¹ × 13¹ × 617¹

Step-3: Factors of 96239

List of positive integer factors of 96239 that divides 96239 without a remainder.

1, 11, 13, 143, 673, 7403, 8749

Step-4: Factors of 96252

List of positive integer factors of 96252 that divides 96239 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 617, 1234, 1851, 2468, 3702, 7404, 8021, 16042, 24063, 32084, 48126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96239 and 96252. The biggest common factor number is the GCF number.
So the greatest common factor 96239 and 96252 is 13.

Also check out the Least Common Multiple of 96239 and 96252