What is the Greatest Common Factor of 54153 and 54164?

Greatest common factor (GCF) of 54153 and 54164 is 11.

GCF(54153,54164) = 11

We will now calculate the prime factors of 54153 and 54164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54153 and 54164.

How to find the GCF of 54153 and 54164?

We will first find the prime factorization of 54153 and 54164. After we will calculate the factors of 54153 and 54164 and find the biggest common factor number .

Step-1: Prime Factorization of 54153

Prime factors of 54153 are 3, 11, 547. Prime factorization of 54153 in exponential form is:

54153 = 3² × 11¹ × 547¹

Step-2: Prime Factorization of 54164

Prime factors of 54164 are 2, 11, 1231. Prime factorization of 54164 in exponential form is:

54164 = 2² × 11¹ × 1231¹

Step-3: Factors of 54153

List of positive integer factors of 54153 that divides 54153 without a remainder.

1, 3, 9, 11, 33, 99, 547, 1641, 4923, 6017, 18051

Step-4: Factors of 54164

List of positive integer factors of 54164 that divides 54153 without a remainder.

1, 2, 4, 11, 22, 44, 1231, 2462, 4924, 13541, 27082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54153 and 54164. The biggest common factor number is the GCF number.
So the greatest common factor 54153 and 54164 is 11.

Also check out the Least Common Multiple of 54153 and 54164