What is the Greatest Common Factor of 49628 and 49638?

Greatest common factor (GCF) of 49628 and 49638 is 2.

GCF(49628,49638) = 2

We will now calculate the prime factors of 49628 and 49638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49628 and 49638.

How to find the GCF of 49628 and 49638?

We will first find the prime factorization of 49628 and 49638. After we will calculate the factors of 49628 and 49638 and find the biggest common factor number .

Step-1: Prime Factorization of 49628

Prime factors of 49628 are 2, 19, 653. Prime factorization of 49628 in exponential form is:

49628 = 2² × 19¹ × 653¹

Step-2: Prime Factorization of 49638

Prime factors of 49638 are 2, 3, 8273. Prime factorization of 49638 in exponential form is:

49638 = 2¹ × 3¹ × 8273¹

Step-3: Factors of 49628

List of positive integer factors of 49628 that divides 49628 without a remainder.

1, 2, 4, 19, 38, 76, 653, 1306, 2612, 12407, 24814

Step-4: Factors of 49638

List of positive integer factors of 49638 that divides 49628 without a remainder.

1, 2, 3, 6, 8273, 16546, 24819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49628 and 49638. The biggest common factor number is the GCF number.
So the greatest common factor 49628 and 49638 is 2.

Also check out the Least Common Multiple of 49628 and 49638