What is the Greatest Common Factor of 10625 and 10630?

Greatest common factor (GCF) of 10625 and 10630 is 5.

GCF(10625,10630) = 5

We will now calculate the prime factors of 10625 and 10630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10625 and 10630.

How to find the GCF of 10625 and 10630?

We will first find the prime factorization of 10625 and 10630. After we will calculate the factors of 10625 and 10630 and find the biggest common factor number .

Step-1: Prime Factorization of 10625

Prime factors of 10625 are 5, 17. Prime factorization of 10625 in exponential form is:

10625 = 5⁴ × 17¹

Step-2: Prime Factorization of 10630

Prime factors of 10630 are 2, 5, 1063. Prime factorization of 10630 in exponential form is:

10630 = 2¹ × 5¹ × 1063¹

Step-3: Factors of 10625

List of positive integer factors of 10625 that divides 10625 without a remainder.

1, 5, 17, 25, 85, 125, 425, 625, 2125

Step-4: Factors of 10630

List of positive integer factors of 10630 that divides 10625 without a remainder.

1, 2, 5, 10, 1063, 2126, 5315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10625 and 10630. The biggest common factor number is the GCF number.
So the greatest common factor 10625 and 10630 is 5.

Also check out the Least Common Multiple of 10625 and 10630