What is the Greatest Common Factor of 55362 and 55377?

Greatest common factor (GCF) of 55362 and 55377 is 3.

GCF(55362,55377) = 3

We will now calculate the prime factors of 55362 and 55377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55362 and 55377.

How to find the GCF of 55362 and 55377?

We will first find the prime factorization of 55362 and 55377. After we will calculate the factors of 55362 and 55377 and find the biggest common factor number .

Step-1: Prime Factorization of 55362

Prime factors of 55362 are 2, 3, 9227. Prime factorization of 55362 in exponential form is:

55362 = 2¹ × 3¹ × 9227¹

Step-2: Prime Factorization of 55377

Prime factors of 55377 are 3, 7, 293. Prime factorization of 55377 in exponential form is:

55377 = 3³ × 7¹ × 293¹

Step-3: Factors of 55362

List of positive integer factors of 55362 that divides 55362 without a remainder.

1, 2, 3, 6, 9227, 18454, 27681

Step-4: Factors of 55377

List of positive integer factors of 55377 that divides 55362 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 293, 879, 2051, 2637, 6153, 7911, 18459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55362 and 55377. The biggest common factor number is the GCF number.
So the greatest common factor 55362 and 55377 is 3.

Also check out the Least Common Multiple of 55362 and 55377