What is the Greatest Common Factor of 49616 and 49627?

Greatest common factor (GCF) of 49616 and 49627 is 1.

GCF(49616,49627) = 1

We will now calculate the prime factors of 49616 and 49627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49616 and 49627.

How to find the GCF of 49616 and 49627?

We will first find the prime factorization of 49616 and 49627. After we will calculate the factors of 49616 and 49627 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 49627

Prime factors of 49627 are 49627. Prime factorization of 49627 in exponential form is:

49627 = 49627¹

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 49627

List of positive integer factors of 49627 that divides 49616 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49616 and 49627. The biggest common factor number is the GCF number.
So the greatest common factor 49616 and 49627 is 1.

Also check out the Least Common Multiple of 49616 and 49627