What is the Greatest Common Factor of 97532 and 97538?

Greatest common factor (GCF) of 97532 and 97538 is 2.

GCF(97532,97538) = 2

We will now calculate the prime factors of 97532 and 97538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97532 and 97538.

How to find the GCF of 97532 and 97538?

We will first find the prime factorization of 97532 and 97538. After we will calculate the factors of 97532 and 97538 and find the biggest common factor number .

Step-1: Prime Factorization of 97532

Prime factors of 97532 are 2, 37, 659. Prime factorization of 97532 in exponential form is:

97532 = 2² × 37¹ × 659¹

Step-2: Prime Factorization of 97538

Prime factors of 97538 are 2, 7, 6967. Prime factorization of 97538 in exponential form is:

97538 = 2¹ × 7¹ × 6967¹

Step-3: Factors of 97532

List of positive integer factors of 97532 that divides 97532 without a remainder.

1, 2, 4, 37, 74, 148, 659, 1318, 2636, 24383, 48766

Step-4: Factors of 97538

List of positive integer factors of 97538 that divides 97532 without a remainder.

1, 2, 7, 14, 6967, 13934, 48769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97532 and 97538. The biggest common factor number is the GCF number.
So the greatest common factor 97532 and 97538 is 2.

Also check out the Least Common Multiple of 97532 and 97538