What is the Greatest Common Factor of 97548 and 97564?

Greatest common factor (GCF) of 97548 and 97564 is 4.

GCF(97548,97564) = 4

We will now calculate the prime factors of 97548 and 97564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97548 and 97564.

How to find the GCF of 97548 and 97564?

We will first find the prime factorization of 97548 and 97564. After we will calculate the factors of 97548 and 97564 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97564

Prime factors of 97564 are 2, 24391. Prime factorization of 97564 in exponential form is:

97564 = 2² × 24391¹

Step-3: Factors of 97548

List of positive integer factors of 97548 that divides 97548 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

Step-4: Factors of 97564

List of positive integer factors of 97564 that divides 97548 without a remainder.

1, 2, 4, 24391, 48782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97548 and 97564. The biggest common factor number is the GCF number.
So the greatest common factor 97548 and 97564 is 4.

Also check out the Least Common Multiple of 97548 and 97564