What is the Greatest Common Factor of 97578 and 97591?

Greatest common factor (GCF) of 97578 and 97591 is 13.

GCF(97578,97591) = 13

We will now calculate the prime factors of 97578 and 97591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97578 and 97591.

How to find the GCF of 97578 and 97591?

We will first find the prime factorization of 97578 and 97591. After we will calculate the factors of 97578 and 97591 and find the biggest common factor number .

Step-1: Prime Factorization of 97578

Prime factors of 97578 are 2, 3, 13, 139. Prime factorization of 97578 in exponential form is:

97578 = 2¹ × 3³ × 13¹ × 139¹

Step-2: Prime Factorization of 97591

Prime factors of 97591 are 13, 7507. Prime factorization of 97591 in exponential form is:

97591 = 13¹ × 7507¹

Step-3: Factors of 97578

List of positive integer factors of 97578 that divides 97578 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 139, 234, 278, 351, 417, 702, 834, 1251, 1807, 2502, 3614, 3753, 5421, 7506, 10842, 16263, 32526, 48789

Step-4: Factors of 97591

List of positive integer factors of 97591 that divides 97578 without a remainder.

1, 13, 7507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97578 and 97591. The biggest common factor number is the GCF number.
So the greatest common factor 97578 and 97591 is 13.

Also check out the Least Common Multiple of 97578 and 97591