What is the Greatest Common Factor of 86475 and 86480?

Greatest common factor (GCF) of 86475 and 86480 is 5.

GCF(86475,86480) = 5

We will now calculate the prime factors of 86475 and 86480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86475 and 86480.

How to find the GCF of 86475 and 86480?

We will first find the prime factorization of 86475 and 86480. After we will calculate the factors of 86475 and 86480 and find the biggest common factor number .

Step-1: Prime Factorization of 86475

Prime factors of 86475 are 3, 5, 1153. Prime factorization of 86475 in exponential form is:

86475 = 3¹ × 5² × 1153¹

Step-2: Prime Factorization of 86480

Prime factors of 86480 are 2, 5, 23, 47. Prime factorization of 86480 in exponential form is:

86480 = 2⁴ × 5¹ × 23¹ × 47¹

Step-3: Factors of 86475

List of positive integer factors of 86475 that divides 86475 without a remainder.

1, 3, 5, 15, 25, 75, 1153, 3459, 5765, 17295, 28825

Step-4: Factors of 86480

List of positive integer factors of 86480 that divides 86475 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 47, 80, 92, 94, 115, 184, 188, 230, 235, 368, 376, 460, 470, 752, 920, 940, 1081, 1840, 1880, 2162, 3760, 4324, 5405, 8648, 10810, 17296, 21620, 43240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86475 and 86480. The biggest common factor number is the GCF number.
So the greatest common factor 86475 and 86480 is 5.

Also check out the Least Common Multiple of 86475 and 86480