What is the Greatest Common Factor of 88572 and 88583?

Greatest common factor (GCF) of 88572 and 88583 is 11.

GCF(88572,88583) = 11

We will now calculate the prime factors of 88572 and 88583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88572 and 88583.

How to find the GCF of 88572 and 88583?

We will first find the prime factorization of 88572 and 88583. After we will calculate the factors of 88572 and 88583 and find the biggest common factor number .

Step-1: Prime Factorization of 88572

Prime factors of 88572 are 2, 3, 11, 61. Prime factorization of 88572 in exponential form is:

88572 = 2² × 3¹ × 11² × 61¹

Step-2: Prime Factorization of 88583

Prime factors of 88583 are 11, 8053. Prime factorization of 88583 in exponential form is:

88583 = 11¹ × 8053¹

Step-3: Factors of 88572

List of positive integer factors of 88572 that divides 88572 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 121, 122, 132, 183, 242, 244, 363, 366, 484, 671, 726, 732, 1342, 1452, 2013, 2684, 4026, 7381, 8052, 14762, 22143, 29524, 44286

Step-4: Factors of 88583

List of positive integer factors of 88583 that divides 88572 without a remainder.

1, 11, 8053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88572 and 88583. The biggest common factor number is the GCF number.
So the greatest common factor 88572 and 88583 is 11.

Also check out the Least Common Multiple of 88572 and 88583