What is the Greatest Common Factor of 49616 and 49628?

Greatest common factor (GCF) of 49616 and 49628 is 4.

GCF(49616,49628) = 4

We will now calculate the prime factors of 49616 and 49628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49616 and 49628.

How to find the GCF of 49616 and 49628?

We will first find the prime factorization of 49616 and 49628. After we will calculate the factors of 49616 and 49628 and find the biggest common factor number .

Step-1: Prime Factorization of 49616

Prime factors of 49616 are 2, 7, 443. Prime factorization of 49616 in exponential form is:

49616 = 2⁴ × 7¹ × 443¹

Step-2: 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-3: Factors of 49616

List of positive integer factors of 49616 that divides 49616 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 443, 886, 1772, 3101, 3544, 6202, 7088, 12404, 24808

Step-4: Factors of 49628

List of positive integer factors of 49628 that divides 49616 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49616 and 49628. The biggest common factor number is the GCF number.
So the greatest common factor 49616 and 49628 is 4.

Also check out the Least Common Multiple of 49616 and 49628