What is the Greatest Common Factor of 97500 and 97512?

Greatest common factor (GCF) of 97500 and 97512 is 12.

GCF(97500,97512) = 12

We will now calculate the prime factors of 97500 and 97512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97500 and 97512.

How to find the GCF of 97500 and 97512?

We will first find the prime factorization of 97500 and 97512. After we will calculate the factors of 97500 and 97512 and find the biggest common factor number .

Step-1: Prime Factorization of 97500

Prime factors of 97500 are 2, 3, 5, 13. Prime factorization of 97500 in exponential form is:

97500 = 2² × 3¹ × 5⁴ × 13¹

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 97500

List of positive integer factors of 97500 that divides 97500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 125, 130, 150, 156, 195, 250, 260, 300, 325, 375, 390, 500, 625, 650, 750, 780, 975, 1250, 1300, 1500, 1625, 1875, 1950, 2500, 3250, 3750, 3900, 4875, 6500, 7500, 8125, 9750, 16250, 19500, 24375, 32500, 48750

Step-4: Factors of 97512

List of positive integer factors of 97512 that divides 97500 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 97500 and 97512. The biggest common factor number is the GCF number.
So the greatest common factor 97500 and 97512 is 12.

Also check out the Least Common Multiple of 97500 and 97512