What is the Greatest Common Factor of 97508 and 97512?

Greatest common factor (GCF) of 97508 and 97512 is 4.

GCF(97508,97512) = 4

We will now calculate the prime factors of 97508 and 97512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97508 and 97512.

How to find the GCF of 97508 and 97512?

We will first find the prime factorization of 97508 and 97512. After we will calculate the factors of 97508 and 97512 and find the biggest common factor number .

Step-1: Prime Factorization of 97508

Prime factors of 97508 are 2, 19, 1283. Prime factorization of 97508 in exponential form is:

97508 = 2² × 19¹ × 1283¹

Step-2: Prime Factorization of 97512

Prime factors of 97512 are 2, 3, 17, 239. Prime factorization of 97512 in exponential form is:

97512 = 2³ × 3¹ × 17¹ × 239¹

Step-3: Factors of 97508

List of positive integer factors of 97508 that divides 97508 without a remainder.

1, 2, 4, 19, 38, 76, 1283, 2566, 5132, 24377, 48754

Step-4: Factors of 97512

List of positive integer factors of 97512 that divides 97508 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 239, 408, 478, 717, 956, 1434, 1912, 2868, 4063, 5736, 8126, 12189, 16252, 24378, 32504, 48756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97508 and 97512. The biggest common factor number is the GCF number.
So the greatest common factor 97508 and 97512 is 4.

Also check out the Least Common Multiple of 97508 and 97512