What is the Greatest Common Factor of 47460 and 47474?

Greatest common factor (GCF) of 47460 and 47474 is 14.

GCF(47460,47474) = 14

We will now calculate the prime factors of 47460 and 47474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47460 and 47474.

How to find the GCF of 47460 and 47474?

We will first find the prime factorization of 47460 and 47474. After we will calculate the factors of 47460 and 47474 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 47474

Prime factors of 47474 are 2, 7, 3391. Prime factorization of 47474 in exponential form is:

47474 = 2¹ × 7¹ × 3391¹

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 47474

List of positive integer factors of 47474 that divides 47460 without a remainder.

1, 2, 7, 14, 3391, 6782, 23737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47460 and 47474. The biggest common factor number is the GCF number.
So the greatest common factor 47460 and 47474 is 14.

Also check out the Least Common Multiple of 47460 and 47474