What is the Greatest Common Factor of 88156 and 88160?

Greatest common factor (GCF) of 88156 and 88160 is 4.

GCF(88156,88160) = 4

We will now calculate the prime factors of 88156 and 88160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88156 and 88160.

How to find the GCF of 88156 and 88160?

We will first find the prime factorization of 88156 and 88160. After we will calculate the factors of 88156 and 88160 and find the biggest common factor number .

Step-1: Prime Factorization of 88156

Prime factors of 88156 are 2, 22039. Prime factorization of 88156 in exponential form is:

88156 = 2² × 22039¹

Step-2: Prime Factorization of 88160

Prime factors of 88160 are 2, 5, 19, 29. Prime factorization of 88160 in exponential form is:

88160 = 2⁵ × 5¹ × 19¹ × 29¹

Step-3: Factors of 88156

List of positive integer factors of 88156 that divides 88156 without a remainder.

1, 2, 4, 22039, 44078

Step-4: Factors of 88160

List of positive integer factors of 88160 that divides 88156 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 29, 32, 38, 40, 58, 76, 80, 95, 116, 145, 152, 160, 190, 232, 290, 304, 380, 464, 551, 580, 608, 760, 928, 1102, 1160, 1520, 2204, 2320, 2755, 3040, 4408, 4640, 5510, 8816, 11020, 17632, 22040, 44080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88156 and 88160. The biggest common factor number is the GCF number.
So the greatest common factor 88156 and 88160 is 4.

Also check out the Least Common Multiple of 88156 and 88160