What is the Greatest Common Factor of 47446 and 47460?

Greatest common factor (GCF) of 47446 and 47460 is 14.

GCF(47446,47460) = 14

We will now calculate the prime factors of 47446 and 47460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47446 and 47460.

How to find the GCF of 47446 and 47460?

We will first find the prime factorization of 47446 and 47460. After we will calculate the factors of 47446 and 47460 and find the biggest common factor number .

Step-1: Prime Factorization of 47446

Prime factors of 47446 are 2, 7, 3389. Prime factorization of 47446 in exponential form is:

47446 = 2¹ × 7¹ × 3389¹

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 47446

List of positive integer factors of 47446 that divides 47446 without a remainder.

1, 2, 7, 14, 3389, 6778, 23723

Step-4: Factors of 47460

List of positive integer factors of 47460 that divides 47446 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 47446 and 47460. The biggest common factor number is the GCF number.
So the greatest common factor 47446 and 47460 is 14.

Also check out the Least Common Multiple of 47446 and 47460