What is the Greatest Common Factor of 12625 and 12630?

Greatest common factor (GCF) of 12625 and 12630 is 5.

GCF(12625,12630) = 5

We will now calculate the prime factors of 12625 and 12630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12625 and 12630.

How to find the GCF of 12625 and 12630?

We will first find the prime factorization of 12625 and 12630. After we will calculate the factors of 12625 and 12630 and find the biggest common factor number .

Step-1: Prime Factorization of 12625

Prime factors of 12625 are 5, 101. Prime factorization of 12625 in exponential form is:

12625 = 5³ × 101¹

Step-2: Prime Factorization of 12630

Prime factors of 12630 are 2, 3, 5, 421. Prime factorization of 12630 in exponential form is:

12630 = 2¹ × 3¹ × 5¹ × 421¹

Step-3: Factors of 12625

List of positive integer factors of 12625 that divides 12625 without a remainder.

1, 5, 25, 101, 125, 505, 2525

Step-4: Factors of 12630

List of positive integer factors of 12630 that divides 12625 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 421, 842, 1263, 2105, 2526, 4210, 6315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12625 and 12630. The biggest common factor number is the GCF number.
So the greatest common factor 12625 and 12630 is 5.

Also check out the Least Common Multiple of 12625 and 12630