What is the Greatest Common Factor of 19616 and 19627?

Greatest common factor (GCF) of 19616 and 19627 is 1.

GCF(19616,19627) = 1

We will now calculate the prime factors of 19616 and 19627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19616 and 19627.

How to find the GCF of 19616 and 19627?

We will first find the prime factorization of 19616 and 19627. After we will calculate the factors of 19616 and 19627 and find the biggest common factor number .

Step-1: Prime Factorization of 19616

Prime factors of 19616 are 2, 613. Prime factorization of 19616 in exponential form is:

19616 = 2⁵ × 613¹

Step-2: Prime Factorization of 19627

Prime factors of 19627 are 19, 1033. Prime factorization of 19627 in exponential form is:

19627 = 19¹ × 1033¹

Step-3: Factors of 19616

List of positive integer factors of 19616 that divides 19616 without a remainder.

1, 2, 4, 8, 16, 32, 613, 1226, 2452, 4904, 9808

Step-4: Factors of 19627

List of positive integer factors of 19627 that divides 19616 without a remainder.

1, 19, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19616 and 19627. The biggest common factor number is the GCF number.
So the greatest common factor 19616 and 19627 is 1.

Also check out the Least Common Multiple of 19616 and 19627