What is the Greatest Common Factor of 88475 and 88480?

Greatest common factor (GCF) of 88475 and 88480 is 5.

GCF(88475,88480) = 5

We will now calculate the prime factors of 88475 and 88480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88475 and 88480.

How to find the GCF of 88475 and 88480?

We will first find the prime factorization of 88475 and 88480. After we will calculate the factors of 88475 and 88480 and find the biggest common factor number .

Step-1: Prime Factorization of 88475

Prime factors of 88475 are 5, 3539. Prime factorization of 88475 in exponential form is:

88475 = 5² × 3539¹

Step-2: Prime Factorization of 88480

Prime factors of 88480 are 2, 5, 7, 79. Prime factorization of 88480 in exponential form is:

88480 = 2⁵ × 5¹ × 7¹ × 79¹

Step-3: Factors of 88475

List of positive integer factors of 88475 that divides 88475 without a remainder.

1, 5, 25, 3539, 17695

Step-4: Factors of 88480

List of positive integer factors of 88480 that divides 88475 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 79, 80, 112, 140, 158, 160, 224, 280, 316, 395, 553, 560, 632, 790, 1106, 1120, 1264, 1580, 2212, 2528, 2765, 3160, 4424, 5530, 6320, 8848, 11060, 12640, 17696, 22120, 44240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88475 and 88480. The biggest common factor number is the GCF number.
So the greatest common factor 88475 and 88480 is 5.

Also check out the Least Common Multiple of 88475 and 88480