What is the Greatest Common Factor of 19625 and 19633?

Greatest common factor (GCF) of 19625 and 19633 is 1.

GCF(19625,19633) = 1

We will now calculate the prime factors of 19625 and 19633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19625 and 19633.

How to find the GCF of 19625 and 19633?

We will first find the prime factorization of 19625 and 19633. After we will calculate the factors of 19625 and 19633 and find the biggest common factor number .

Step-1: Prime Factorization of 19625

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

19625 = 5³ × 157¹

Step-2: Prime Factorization of 19633

Prime factors of 19633 are 29, 677. Prime factorization of 19633 in exponential form is:

19633 = 29¹ × 677¹

Step-3: Factors of 19625

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

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

Step-4: Factors of 19633

List of positive integer factors of 19633 that divides 19625 without a remainder.

1, 29, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19625 and 19633. The biggest common factor number is the GCF number.
So the greatest common factor 19625 and 19633 is 1.

Also check out the Least Common Multiple of 19625 and 19633