What is the Greatest Common Factor of 88148 and 88160?

Greatest common factor (GCF) of 88148 and 88160 is 4.

GCF(88148,88160) = 4

We will now calculate the prime factors of 88148 and 88160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88148 and 88160.

How to find the GCF of 88148 and 88160?

We will first find the prime factorization of 88148 and 88160. After we will calculate the factors of 88148 and 88160 and find the biggest common factor number .

Step-1: Prime Factorization of 88148

Prime factors of 88148 are 2, 22037. Prime factorization of 88148 in exponential form is:

88148 = 2² × 22037¹

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 88148

List of positive integer factors of 88148 that divides 88148 without a remainder.

1, 2, 4, 22037, 44074

Step-4: Factors of 88160

List of positive integer factors of 88160 that divides 88148 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 88148 and 88160. The biggest common factor number is the GCF number.
So the greatest common factor 88148 and 88160 is 4.

Also check out the Least Common Multiple of 88148 and 88160