What is the Greatest Common Factor of 1625 and 1630?

Greatest common factor (GCF) of 1625 and 1630 is 5.

GCF(1625,1630) = 5

We will now calculate the prime factors of 1625 and 1630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1625 and 1630.

How to find the GCF of 1625 and 1630?

We will first find the prime factorization of 1625 and 1630. After we will calculate the factors of 1625 and 1630 and find the biggest common factor number .

Step-1: Prime Factorization of 1625

Prime factors of 1625 are 5, 13. Prime factorization of 1625 in exponential form is:

1625 = 5³ × 13¹

Step-2: Prime Factorization of 1630

Prime factors of 1630 are 2, 5, 163. Prime factorization of 1630 in exponential form is:

1630 = 2¹ × 5¹ × 163¹

Step-3: Factors of 1625

List of positive integer factors of 1625 that divides 1625 without a remainder.

1, 5, 13, 25, 65, 125, 325

Step-4: Factors of 1630

List of positive integer factors of 1630 that divides 1625 without a remainder.

1, 2, 5, 10, 163, 326, 815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1625 and 1630. The biggest common factor number is the GCF number.
So the greatest common factor 1625 and 1630 is 5.

Also check out the Least Common Multiple of 1625 and 1630