What is the Greatest Common Factor of 88784 and 88788?

Greatest common factor (GCF) of 88784 and 88788 is 4.

GCF(88784,88788) = 4

We will now calculate the prime factors of 88784 and 88788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88784 and 88788.

How to find the GCF of 88784 and 88788?

We will first find the prime factorization of 88784 and 88788. After we will calculate the factors of 88784 and 88788 and find the biggest common factor number .

Step-1: Prime Factorization of 88784

Prime factors of 88784 are 2, 31, 179. Prime factorization of 88784 in exponential form is:

88784 = 2⁴ × 31¹ × 179¹

Step-2: Prime Factorization of 88788

Prime factors of 88788 are 2, 3, 7, 151. Prime factorization of 88788 in exponential form is:

88788 = 2² × 3¹ × 7² × 151¹

Step-3: Factors of 88784

List of positive integer factors of 88784 that divides 88784 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 179, 248, 358, 496, 716, 1432, 2864, 5549, 11098, 22196, 44392

Step-4: Factors of 88788

List of positive integer factors of 88788 that divides 88784 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 151, 196, 294, 302, 453, 588, 604, 906, 1057, 1812, 2114, 3171, 4228, 6342, 7399, 12684, 14798, 22197, 29596, 44394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88784 and 88788. The biggest common factor number is the GCF number.
So the greatest common factor 88784 and 88788 is 4.

Also check out the Least Common Multiple of 88784 and 88788