What is the Greatest Common Factor of 47448 and 47460?

Greatest common factor (GCF) of 47448 and 47460 is 12.

GCF(47448,47460) = 12

We will now calculate the prime factors of 47448 and 47460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47448 and 47460.

How to find the GCF of 47448 and 47460?

We will first find the prime factorization of 47448 and 47460. After we will calculate the factors of 47448 and 47460 and find the biggest common factor number .

Step-1: Prime Factorization of 47448

Prime factors of 47448 are 2, 3, 659. Prime factorization of 47448 in exponential form is:

47448 = 2³ × 3² × 659¹

Step-2: 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-3: Factors of 47448

List of positive integer factors of 47448 that divides 47448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 659, 1318, 1977, 2636, 3954, 5272, 5931, 7908, 11862, 15816, 23724

Step-4: Factors of 47460

List of positive integer factors of 47460 that divides 47448 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47448 and 47460. The biggest common factor number is the GCF number.
So the greatest common factor 47448 and 47460 is 12.

Also check out the Least Common Multiple of 47448 and 47460