What is the Greatest Common Factor of 88784 and 88796?

Greatest common factor (GCF) of 88784 and 88796 is 4.

GCF(88784,88796) = 4

We will now calculate the prime factors of 88784 and 88796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88784 and 88796.

How to find the GCF of 88784 and 88796?

We will first find the prime factorization of 88784 and 88796. After we will calculate the factors of 88784 and 88796 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 88796

Prime factors of 88796 are 2, 79, 281. Prime factorization of 88796 in exponential form is:

88796 = 2² × 79¹ × 281¹

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 88796

List of positive integer factors of 88796 that divides 88784 without a remainder.

1, 2, 4, 79, 158, 281, 316, 562, 1124, 22199, 44398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88784 and 88796. The biggest common factor number is the GCF number.
So the greatest common factor 88784 and 88796 is 4.

Also check out the Least Common Multiple of 88784 and 88796