What is the Greatest Common Factor of 54170 and 54188?

Greatest common factor (GCF) of 54170 and 54188 is 2.

GCF(54170,54188) = 2

We will now calculate the prime factors of 54170 and 54188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54170 and 54188.

How to find the GCF of 54170 and 54188?

We will first find the prime factorization of 54170 and 54188. After we will calculate the factors of 54170 and 54188 and find the biggest common factor number .

Step-1: Prime Factorization of 54170

Prime factors of 54170 are 2, 5, 5417. Prime factorization of 54170 in exponential form is:

54170 = 2¹ × 5¹ × 5417¹

Step-2: Prime Factorization of 54188

Prime factors of 54188 are 2, 19, 23, 31. Prime factorization of 54188 in exponential form is:

54188 = 2² × 19¹ × 23¹ × 31¹

Step-3: Factors of 54170

List of positive integer factors of 54170 that divides 54170 without a remainder.

1, 2, 5, 10, 5417, 10834, 27085

Step-4: Factors of 54188

List of positive integer factors of 54188 that divides 54170 without a remainder.

1, 2, 4, 19, 23, 31, 38, 46, 62, 76, 92, 124, 437, 589, 713, 874, 1178, 1426, 1748, 2356, 2852, 13547, 27094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54170 and 54188. The biggest common factor number is the GCF number.
So the greatest common factor 54170 and 54188 is 2.

Also check out the Least Common Multiple of 54170 and 54188