What is the Greatest Common Factor of 47460 and 47475?

Greatest common factor (GCF) of 47460 and 47475 is 15.

GCF(47460,47475) = 15

We will now calculate the prime factors of 47460 and 47475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47460 and 47475.

How to find the GCF of 47460 and 47475?

We will first find the prime factorization of 47460 and 47475. After we will calculate the factors of 47460 and 47475 and find the biggest common factor number .

Step-1: Prime Factorization of 47460

Prime factors of 47460 are 2, 3, 5, 7, 113. Prime factorization of 47460 in exponential form is:

47460 = 2² × 3¹ × 5¹ × 7¹ × 113¹

Step-2: Prime Factorization of 47475

Prime factors of 47475 are 3, 5, 211. Prime factorization of 47475 in exponential form is:

47475 = 3² × 5² × 211¹

Step-3: Factors of 47460

List of positive integer factors of 47460 that divides 47460 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 113, 140, 210, 226, 339, 420, 452, 565, 678, 791, 1130, 1356, 1582, 1695, 2260, 2373, 3164, 3390, 3955, 4746, 6780, 7910, 9492, 11865, 15820, 23730

Step-4: Factors of 47475

List of positive integer factors of 47475 that divides 47460 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 211, 225, 633, 1055, 1899, 3165, 5275, 9495, 15825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47460 and 47475. The biggest common factor number is the GCF number.
So the greatest common factor 47460 and 47475 is 15.

Also check out the Least Common Multiple of 47460 and 47475