What is the Greatest Common Factor of 54131 and 54138?

Greatest common factor (GCF) of 54131 and 54138 is 7.

GCF(54131,54138) = 7

We will now calculate the prime factors of 54131 and 54138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54131 and 54138.

How to find the GCF of 54131 and 54138?

We will first find the prime factorization of 54131 and 54138. After we will calculate the factors of 54131 and 54138 and find the biggest common factor number .

Step-1: Prime Factorization of 54131

Prime factors of 54131 are 7, 11, 19, 37. Prime factorization of 54131 in exponential form is:

54131 = 7¹ × 11¹ × 19¹ × 37¹

Step-2: Prime Factorization of 54138

Prime factors of 54138 are 2, 3, 7, 1289. Prime factorization of 54138 in exponential form is:

54138 = 2¹ × 3¹ × 7¹ × 1289¹

Step-3: Factors of 54131

List of positive integer factors of 54131 that divides 54131 without a remainder.

1, 7, 11, 19, 37, 77, 133, 209, 259, 407, 703, 1463, 2849, 4921, 7733

Step-4: Factors of 54138

List of positive integer factors of 54138 that divides 54131 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1289, 2578, 3867, 7734, 9023, 18046, 27069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54131 and 54138. The biggest common factor number is the GCF number.
So the greatest common factor 54131 and 54138 is 7.

Also check out the Least Common Multiple of 54131 and 54138