What is the Greatest Common Factor of 54663 and 54677?

Greatest common factor (GCF) of 54663 and 54677 is 7.

GCF(54663,54677) = 7

We will now calculate the prime factors of 54663 and 54677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54663 and 54677.

How to find the GCF of 54663 and 54677?

We will first find the prime factorization of 54663 and 54677. After we will calculate the factors of 54663 and 54677 and find the biggest common factor number .

Step-1: Prime Factorization of 54663

Prime factors of 54663 are 3, 7, 19, 137. Prime factorization of 54663 in exponential form is:

54663 = 3¹ × 7¹ × 19¹ × 137¹

Step-2: Prime Factorization of 54677

Prime factors of 54677 are 7, 73, 107. Prime factorization of 54677 in exponential form is:

54677 = 7¹ × 73¹ × 107¹

Step-3: Factors of 54663

List of positive integer factors of 54663 that divides 54663 without a remainder.

1, 3, 7, 19, 21, 57, 133, 137, 399, 411, 959, 2603, 2877, 7809, 18221

Step-4: Factors of 54677

List of positive integer factors of 54677 that divides 54663 without a remainder.

1, 7, 73, 107, 511, 749, 7811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54663 and 54677. The biggest common factor number is the GCF number.
So the greatest common factor 54663 and 54677 is 7.

Also check out the Least Common Multiple of 54663 and 54677