What is the Greatest Common Factor of 55671 and 55677?

Greatest common factor (GCF) of 55671 and 55677 is 3.

GCF(55671,55677) = 3

We will now calculate the prime factors of 55671 and 55677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55671 and 55677.

How to find the GCF of 55671 and 55677?

We will first find the prime factorization of 55671 and 55677. After we will calculate the factors of 55671 and 55677 and find the biggest common factor number .

Step-1: Prime Factorization of 55671

Prime factors of 55671 are 3, 7, 11, 241. Prime factorization of 55671 in exponential form is:

55671 = 3¹ × 7¹ × 11¹ × 241¹

Step-2: Prime Factorization of 55677

Prime factors of 55677 are 3, 67, 277. Prime factorization of 55677 in exponential form is:

55677 = 3¹ × 67¹ × 277¹

Step-3: Factors of 55671

List of positive integer factors of 55671 that divides 55671 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 241, 723, 1687, 2651, 5061, 7953, 18557

Step-4: Factors of 55677

List of positive integer factors of 55677 that divides 55671 without a remainder.

1, 3, 67, 201, 277, 831, 18559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55671 and 55677. The biggest common factor number is the GCF number.
So the greatest common factor 55671 and 55677 is 3.

Also check out the Least Common Multiple of 55671 and 55677