What is the Greatest Common Factor of 19616 and 19625?

Greatest common factor (GCF) of 19616 and 19625 is 1.

GCF(19616,19625) = 1

We will now calculate the prime factors of 19616 and 19625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19616 and 19625.

How to find the GCF of 19616 and 19625?

We will first find the prime factorization of 19616 and 19625. After we will calculate the factors of 19616 and 19625 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 19625

Prime factors of 19625 are 5, 157. Prime factorization of 19625 in exponential form is:

19625 = 5³ × 157¹

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 19625

List of positive integer factors of 19625 that divides 19616 without a remainder.

1, 5, 25, 125, 157, 785, 3925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19616 and 19625. The biggest common factor number is the GCF number.
So the greatest common factor 19616 and 19625 is 1.

Also check out the Least Common Multiple of 19616 and 19625