What is the Greatest Common Factor of 49119 and 49128?

Greatest common factor (GCF) of 49119 and 49128 is 3.

GCF(49119,49128) = 3

We will now calculate the prime factors of 49119 and 49128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49119 and 49128.

How to find the GCF of 49119 and 49128?

We will first find the prime factorization of 49119 and 49128. After we will calculate the factors of 49119 and 49128 and find the biggest common factor number .

Step-1: Prime Factorization of 49119

Prime factors of 49119 are 3, 7, 2339. Prime factorization of 49119 in exponential form is:

49119 = 3¹ × 7¹ × 2339¹

Step-2: Prime Factorization of 49128

Prime factors of 49128 are 2, 3, 23, 89. Prime factorization of 49128 in exponential form is:

49128 = 2³ × 3¹ × 23¹ × 89¹

Step-3: Factors of 49119

List of positive integer factors of 49119 that divides 49119 without a remainder.

1, 3, 7, 21, 2339, 7017, 16373

Step-4: Factors of 49128

List of positive integer factors of 49128 that divides 49119 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 89, 92, 138, 178, 184, 267, 276, 356, 534, 552, 712, 1068, 2047, 2136, 4094, 6141, 8188, 12282, 16376, 24564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49119 and 49128. The biggest common factor number is the GCF number.
So the greatest common factor 49119 and 49128 is 3.

Also check out the Least Common Multiple of 49119 and 49128