What is the Greatest Common Factor of 97572 and 97583?

Greatest common factor (GCF) of 97572 and 97583 is 1.

GCF(97572,97583) = 1

We will now calculate the prime factors of 97572 and 97583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97572 and 97583.

How to find the GCF of 97572 and 97583?

We will first find the prime factorization of 97572 and 97583. After we will calculate the factors of 97572 and 97583 and find the biggest common factor number .

Step-1: Prime Factorization of 97572

Prime factors of 97572 are 2, 3, 47, 173. Prime factorization of 97572 in exponential form is:

97572 = 2² × 3¹ × 47¹ × 173¹

Step-2: Prime Factorization of 97583

Prime factors of 97583 are 97583. Prime factorization of 97583 in exponential form is:

97583 = 97583¹

Step-3: Factors of 97572

List of positive integer factors of 97572 that divides 97572 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 173, 188, 282, 346, 519, 564, 692, 1038, 2076, 8131, 16262, 24393, 32524, 48786

Step-4: Factors of 97583

List of positive integer factors of 97583 that divides 97572 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97572 and 97583. The biggest common factor number is the GCF number.
So the greatest common factor 97572 and 97583 is 1.

Also check out the Least Common Multiple of 97572 and 97583