What is the Greatest Common Factor of 54112 and 54131?

Greatest common factor (GCF) of 54112 and 54131 is 19.

GCF(54112,54131) = 19

We will now calculate the prime factors of 54112 and 54131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54112 and 54131.

How to find the GCF of 54112 and 54131?

We will first find the prime factorization of 54112 and 54131. After we will calculate the factors of 54112 and 54131 and find the biggest common factor number .

Step-1: Prime Factorization of 54112

Prime factors of 54112 are 2, 19, 89. Prime factorization of 54112 in exponential form is:

54112 = 2⁵ × 19¹ × 89¹

Step-2: 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-3: Factors of 54112

List of positive integer factors of 54112 that divides 54112 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 89, 152, 178, 304, 356, 608, 712, 1424, 1691, 2848, 3382, 6764, 13528, 27056

Step-4: Factors of 54131

List of positive integer factors of 54131 that divides 54112 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54112 and 54131. The biggest common factor number is the GCF number.
So the greatest common factor 54112 and 54131 is 19.

Also check out the Least Common Multiple of 54112 and 54131