What is the Greatest Common Factor of 97588 and 97608?

Greatest common factor (GCF) of 97588 and 97608 is 4.

GCF(97588,97608) = 4

We will now calculate the prime factors of 97588 and 97608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97588 and 97608.

How to find the GCF of 97588 and 97608?

We will first find the prime factorization of 97588 and 97608. After we will calculate the factors of 97588 and 97608 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97608

Prime factors of 97608 are 2, 3, 7, 83. Prime factorization of 97608 in exponential form is:

97608 = 2³ × 3¹ × 7² × 83¹

Step-3: Factors of 97588

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

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

Step-4: Factors of 97608

List of positive integer factors of 97608 that divides 97588 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 83, 84, 98, 147, 166, 168, 196, 249, 294, 332, 392, 498, 581, 588, 664, 996, 1162, 1176, 1743, 1992, 2324, 3486, 4067, 4648, 6972, 8134, 12201, 13944, 16268, 24402, 32536, 48804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97588 and 97608. The biggest common factor number is the GCF number.
So the greatest common factor 97588 and 97608 is 4.

Also check out the Least Common Multiple of 97588 and 97608