What is the Greatest Common Factor of 97582 and 97588?

Greatest common factor (GCF) of 97582 and 97588 is 2.

GCF(97582,97588) = 2

We will now calculate the prime factors of 97582 and 97588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97582 and 97588.

How to find the GCF of 97582 and 97588?

We will first find the prime factorization of 97582 and 97588. After we will calculate the factors of 97582 and 97588 and find the biggest common factor number .

Step-1: Prime Factorization of 97582

Prime factors of 97582 are 2, 97, 503. Prime factorization of 97582 in exponential form is:

97582 = 2¹ × 97¹ × 503¹

Step-2: Prime Factorization of 97588

Prime factors of 97588 are 2, 31, 787. Prime factorization of 97588 in exponential form is:

97588 = 2² × 31¹ × 787¹

Step-3: Factors of 97582

List of positive integer factors of 97582 that divides 97582 without a remainder.

1, 2, 97, 194, 503, 1006, 48791

Step-4: Factors of 97588

List of positive integer factors of 97588 that divides 97582 without a remainder.

1, 2, 4, 31, 62, 124, 787, 1574, 3148, 24397, 48794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97582 and 97588. The biggest common factor number is the GCF number.
So the greatest common factor 97582 and 97588 is 2.

Also check out the Least Common Multiple of 97582 and 97588