What is the Greatest Common Factor of 47676 and 47681?

Greatest common factor (GCF) of 47676 and 47681 is 1.

GCF(47676,47681) = 1

We will now calculate the prime factors of 47676 and 47681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47676 and 47681.

How to find the GCF of 47676 and 47681?

We will first find the prime factorization of 47676 and 47681. After we will calculate the factors of 47676 and 47681 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 47681

Prime factors of 47681 are 47681. Prime factorization of 47681 in exponential form is:

47681 = 47681¹

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 47681

List of positive integer factors of 47681 that divides 47676 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47676 and 47681. The biggest common factor number is the GCF number.
So the greatest common factor 47676 and 47681 is 1.

Also check out the Least Common Multiple of 47676 and 47681