What is the Greatest Common Factor of 54136 and 54140?

Greatest common factor (GCF) of 54136 and 54140 is 4.

GCF(54136,54140) = 4

We will now calculate the prime factors of 54136 and 54140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54136 and 54140.

How to find the GCF of 54136 and 54140?

We will first find the prime factorization of 54136 and 54140. After we will calculate the factors of 54136 and 54140 and find the biggest common factor number .

Step-1: Prime Factorization of 54136

Prime factors of 54136 are 2, 67, 101. Prime factorization of 54136 in exponential form is:

54136 = 2³ × 67¹ × 101¹

Step-2: Prime Factorization of 54140

Prime factors of 54140 are 2, 5, 2707. Prime factorization of 54140 in exponential form is:

54140 = 2² × 5¹ × 2707¹

Step-3: Factors of 54136

List of positive integer factors of 54136 that divides 54136 without a remainder.

1, 2, 4, 8, 67, 101, 134, 202, 268, 404, 536, 808, 6767, 13534, 27068

Step-4: Factors of 54140

List of positive integer factors of 54140 that divides 54136 without a remainder.

1, 2, 4, 5, 10, 20, 2707, 5414, 10828, 13535, 27070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54136 and 54140. The biggest common factor number is the GCF number.
So the greatest common factor 54136 and 54140 is 4.

Also check out the Least Common Multiple of 54136 and 54140