What is the Greatest Common Factor of 97498 and 97512?

Greatest common factor (GCF) of 97498 and 97512 is 2.

GCF(97498,97512) = 2

We will now calculate the prime factors of 97498 and 97512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97498 and 97512.

How to find the GCF of 97498 and 97512?

We will first find the prime factorization of 97498 and 97512. After we will calculate the factors of 97498 and 97512 and find the biggest common factor number .

Step-1: Prime Factorization of 97498

Prime factors of 97498 are 2, 29, 41. Prime factorization of 97498 in exponential form is:

97498 = 2¹ × 29¹ × 41²

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 97498

List of positive integer factors of 97498 that divides 97498 without a remainder.

1, 2, 29, 41, 58, 82, 1189, 1681, 2378, 3362, 48749

Step-4: Factors of 97512

List of positive integer factors of 97512 that divides 97498 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 97498 and 97512. The biggest common factor number is the GCF number.
So the greatest common factor 97498 and 97512 is 2.

Also check out the Least Common Multiple of 97498 and 97512