What is the Greatest Common Factor of 47676 and 47694?

Greatest common factor (GCF) of 47676 and 47694 is 6.

GCF(47676,47694) = 6

We will now calculate the prime factors of 47676 and 47694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47676 and 47694.

How to find the GCF of 47676 and 47694?

We will first find the prime factorization of 47676 and 47694. After we will calculate the factors of 47676 and 47694 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 47694

Prime factors of 47694 are 2, 3, 7949. Prime factorization of 47694 in exponential form is:

47694 = 2¹ × 3¹ × 7949¹

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 47694

List of positive integer factors of 47694 that divides 47676 without a remainder.

1, 2, 3, 6, 7949, 15898, 23847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47676 and 47694. The biggest common factor number is the GCF number.
So the greatest common factor 47676 and 47694 is 6.

Also check out the Least Common Multiple of 47676 and 47694