What is the Greatest Common Factor of 97530 and 97548?

Greatest common factor (GCF) of 97530 and 97548 is 6.

GCF(97530,97548) = 6

We will now calculate the prime factors of 97530 and 97548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97530 and 97548.

How to find the GCF of 97530 and 97548?

We will first find the prime factorization of 97530 and 97548. After we will calculate the factors of 97530 and 97548 and find the biggest common factor number .

Step-1: Prime Factorization of 97530

Prime factors of 97530 are 2, 3, 5, 3251. Prime factorization of 97530 in exponential form is:

97530 = 2¹ × 3¹ × 5¹ × 3251¹

Step-2: Prime Factorization of 97548

Prime factors of 97548 are 2, 3, 11, 739. Prime factorization of 97548 in exponential form is:

97548 = 2² × 3¹ × 11¹ × 739¹

Step-3: Factors of 97530

List of positive integer factors of 97530 that divides 97530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3251, 6502, 9753, 16255, 19506, 32510, 48765

Step-4: Factors of 97548

List of positive integer factors of 97548 that divides 97530 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 739, 1478, 2217, 2956, 4434, 8129, 8868, 16258, 24387, 32516, 48774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97530 and 97548. The biggest common factor number is the GCF number.
So the greatest common factor 97530 and 97548 is 6.

Also check out the Least Common Multiple of 97530 and 97548