What is the Greatest Common Factor of 41475 and 41484?

Greatest common factor (GCF) of 41475 and 41484 is 3.

GCF(41475,41484) = 3

We will now calculate the prime factors of 41475 and 41484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41475 and 41484.

How to find the GCF of 41475 and 41484?

We will first find the prime factorization of 41475 and 41484. After we will calculate the factors of 41475 and 41484 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41484

Prime factors of 41484 are 2, 3, 3457. Prime factorization of 41484 in exponential form is:

41484 = 2² × 3¹ × 3457¹

Step-3: Factors of 41475

List of positive integer factors of 41475 that divides 41475 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

Step-4: Factors of 41484

List of positive integer factors of 41484 that divides 41475 without a remainder.

1, 2, 3, 4, 6, 12, 3457, 6914, 10371, 13828, 20742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41475 and 41484. The biggest common factor number is the GCF number.
So the greatest common factor 41475 and 41484 is 3.

Also check out the Least Common Multiple of 41475 and 41484