What is the Greatest Common Factor of 55068 and 55085?

Greatest common factor (GCF) of 55068 and 55085 is 1.

GCF(55068,55085) = 1

We will now calculate the prime factors of 55068 and 55085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55068 and 55085.

How to find the GCF of 55068 and 55085?

We will first find the prime factorization of 55068 and 55085. After we will calculate the factors of 55068 and 55085 and find the biggest common factor number .

Step-1: Prime Factorization of 55068

Prime factors of 55068 are 2, 3, 13, 353. Prime factorization of 55068 in exponential form is:

55068 = 2² × 3¹ × 13¹ × 353¹

Step-2: Prime Factorization of 55085

Prime factors of 55085 are 5, 23, 479. Prime factorization of 55085 in exponential form is:

55085 = 5¹ × 23¹ × 479¹

Step-3: Factors of 55068

List of positive integer factors of 55068 that divides 55068 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 353, 706, 1059, 1412, 2118, 4236, 4589, 9178, 13767, 18356, 27534

Step-4: Factors of 55085

List of positive integer factors of 55085 that divides 55068 without a remainder.

1, 5, 23, 115, 479, 2395, 11017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55068 and 55085. The biggest common factor number is the GCF number.
So the greatest common factor 55068 and 55085 is 1.

Also check out the Least Common Multiple of 55068 and 55085