What is the Greatest Common Factor of 91460 and 91475?

Greatest common factor (GCF) of 91460 and 91475 is 5.

GCF(91460,91475) = 5

We will now calculate the prime factors of 91460 and 91475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91460 and 91475.

How to find the GCF of 91460 and 91475?

We will first find the prime factorization of 91460 and 91475. After we will calculate the factors of 91460 and 91475 and find the biggest common factor number .

Step-1: Prime Factorization of 91460

Prime factors of 91460 are 2, 5, 17, 269. Prime factorization of 91460 in exponential form is:

91460 = 2² × 5¹ × 17¹ × 269¹

Step-2: Prime Factorization of 91475

Prime factors of 91475 are 5, 3659. Prime factorization of 91475 in exponential form is:

91475 = 5² × 3659¹

Step-3: Factors of 91460

List of positive integer factors of 91460 that divides 91460 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 269, 340, 538, 1076, 1345, 2690, 4573, 5380, 9146, 18292, 22865, 45730

Step-4: Factors of 91475

List of positive integer factors of 91475 that divides 91460 without a remainder.

1, 5, 25, 3659, 18295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91460 and 91475. The biggest common factor number is the GCF number.
So the greatest common factor 91460 and 91475 is 5.

Also check out the Least Common Multiple of 91460 and 91475