What is the Greatest Common Factor of 91480 and 91495?

Greatest common factor (GCF) of 91480 and 91495 is 5.

GCF(91480,91495) = 5

We will now calculate the prime factors of 91480 and 91495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91480 and 91495.

How to find the GCF of 91480 and 91495?

We will first find the prime factorization of 91480 and 91495. After we will calculate the factors of 91480 and 91495 and find the biggest common factor number .

Step-1: Prime Factorization of 91480

Prime factors of 91480 are 2, 5, 2287. Prime factorization of 91480 in exponential form is:

91480 = 2³ × 5¹ × 2287¹

Step-2: Prime Factorization of 91495

Prime factors of 91495 are 5, 29, 631. Prime factorization of 91495 in exponential form is:

91495 = 5¹ × 29¹ × 631¹

Step-3: Factors of 91480

List of positive integer factors of 91480 that divides 91480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2287, 4574, 9148, 11435, 18296, 22870, 45740

Step-4: Factors of 91495

List of positive integer factors of 91495 that divides 91480 without a remainder.

1, 5, 29, 145, 631, 3155, 18299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91480 and 91495. The biggest common factor number is the GCF number.
So the greatest common factor 91480 and 91495 is 5.

Also check out the Least Common Multiple of 91480 and 91495