What is the Greatest Common Factor of 96252 and 96266?

Greatest common factor (GCF) of 96252 and 96266 is 2.

GCF(96252,96266) = 2

We will now calculate the prime factors of 96252 and 96266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96252 and 96266.

How to find the GCF of 96252 and 96266?

We will first find the prime factorization of 96252 and 96266. After we will calculate the factors of 96252 and 96266 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96266

Prime factors of 96266 are 2, 127, 379. Prime factorization of 96266 in exponential form is:

96266 = 2¹ × 127¹ × 379¹

Step-3: Factors of 96252

List of positive integer factors of 96252 that divides 96252 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

Step-4: Factors of 96266

List of positive integer factors of 96266 that divides 96252 without a remainder.

1, 2, 127, 254, 379, 758, 48133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96252 and 96266. The biggest common factor number is the GCF number.
So the greatest common factor 96252 and 96266 is 2.

Also check out the Least Common Multiple of 96252 and 96266