What is the Greatest Common Factor of 19625 and 19630?

Greatest common factor (GCF) of 19625 and 19630 is 5.

GCF(19625,19630) = 5

We will now calculate the prime factors of 19625 and 19630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19625 and 19630.

How to find the GCF of 19625 and 19630?

We will first find the prime factorization of 19625 and 19630. After we will calculate the factors of 19625 and 19630 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 19630

Prime factors of 19630 are 2, 5, 13, 151. Prime factorization of 19630 in exponential form is:

19630 = 2¹ × 5¹ × 13¹ × 151¹

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 19630

List of positive integer factors of 19630 that divides 19625 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 151, 302, 755, 1510, 1963, 3926, 9815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19625 and 19630. The biggest common factor number is the GCF number.
So the greatest common factor 19625 and 19630 is 5.

Also check out the Least Common Multiple of 19625 and 19630