What is the Greatest Common Factor of 55665 and 55677?

Greatest common factor (GCF) of 55665 and 55677 is 3.

GCF(55665,55677) = 3

We will now calculate the prime factors of 55665 and 55677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55665 and 55677.

How to find the GCF of 55665 and 55677?

We will first find the prime factorization of 55665 and 55677. After we will calculate the factors of 55665 and 55677 and find the biggest common factor number .

Step-1: Prime Factorization of 55665

Prime factors of 55665 are 3, 5, 1237. Prime factorization of 55665 in exponential form is:

55665 = 3² × 5¹ × 1237¹

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 55665

List of positive integer factors of 55665 that divides 55665 without a remainder.

1, 3, 5, 9, 15, 45, 1237, 3711, 6185, 11133, 18555

Step-4: Factors of 55677

List of positive integer factors of 55677 that divides 55665 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55665 and 55677. The biggest common factor number is the GCF number.
So the greatest common factor 55665 and 55677 is 3.

Also check out the Least Common Multiple of 55665 and 55677