What is the Greatest Common Factor of 41460 and 41475?

Greatest common factor (GCF) of 41460 and 41475 is 15.

GCF(41460,41475) = 15

We will now calculate the prime factors of 41460 and 41475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41460 and 41475.

How to find the GCF of 41460 and 41475?

We will first find the prime factorization of 41460 and 41475. After we will calculate the factors of 41460 and 41475 and find the biggest common factor number .

Step-1: Prime Factorization of 41460

Prime factors of 41460 are 2, 3, 5, 691. Prime factorization of 41460 in exponential form is:

41460 = 2² × 3¹ × 5¹ × 691¹

Step-2: Prime Factorization of 41475

Prime factors of 41475 are 3, 5, 7, 79. Prime factorization of 41475 in exponential form is:

41475 = 3¹ × 5² × 7¹ × 79¹

Step-3: Factors of 41460

List of positive integer factors of 41460 that divides 41460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 691, 1382, 2073, 2764, 3455, 4146, 6910, 8292, 10365, 13820, 20730

Step-4: Factors of 41475

List of positive integer factors of 41475 that divides 41460 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 79, 105, 175, 237, 395, 525, 553, 1185, 1659, 1975, 2765, 5925, 8295, 13825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41460 and 41475. The biggest common factor number is the GCF number.
So the greatest common factor 41460 and 41475 is 15.

Also check out the Least Common Multiple of 41460 and 41475