What is the Greatest Common Factor of 47676 and 47688?

Greatest common factor (GCF) of 47676 and 47688 is 12.

GCF(47676,47688) = 12

We will now calculate the prime factors of 47676 and 47688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47676 and 47688.

How to find the GCF of 47676 and 47688?

We will first find the prime factorization of 47676 and 47688. After we will calculate the factors of 47676 and 47688 and find the biggest common factor number .

Step-1: Prime Factorization of 47676

Prime factors of 47676 are 2, 3, 29, 137. Prime factorization of 47676 in exponential form is:

47676 = 2² × 3¹ × 29¹ × 137¹

Step-2: Prime Factorization of 47688

Prime factors of 47688 are 2, 3, 1987. Prime factorization of 47688 in exponential form is:

47688 = 2³ × 3¹ × 1987¹

Step-3: Factors of 47676

List of positive integer factors of 47676 that divides 47676 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 137, 174, 274, 348, 411, 548, 822, 1644, 3973, 7946, 11919, 15892, 23838

Step-4: Factors of 47688

List of positive integer factors of 47688 that divides 47676 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1987, 3974, 5961, 7948, 11922, 15896, 23844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47676 and 47688. The biggest common factor number is the GCF number.
So the greatest common factor 47676 and 47688 is 12.

Also check out the Least Common Multiple of 47676 and 47688