What is the Greatest Common Factor of 30625 and 30640?

Greatest common factor (GCF) of 30625 and 30640 is 5.

GCF(30625,30640) = 5

We will now calculate the prime factors of 30625 and 30640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30625 and 30640.

How to find the GCF of 30625 and 30640?

We will first find the prime factorization of 30625 and 30640. After we will calculate the factors of 30625 and 30640 and find the biggest common factor number .

Step-1: Prime Factorization of 30625

Prime factors of 30625 are 5, 7. Prime factorization of 30625 in exponential form is:

30625 = 5⁴ × 7²

Step-2: Prime Factorization of 30640

Prime factors of 30640 are 2, 5, 383. Prime factorization of 30640 in exponential form is:

30640 = 2⁴ × 5¹ × 383¹

Step-3: Factors of 30625

List of positive integer factors of 30625 that divides 30625 without a remainder.

1, 5, 7, 25, 35, 49, 125, 175, 245, 625, 875, 1225, 4375, 6125

Step-4: Factors of 30640

List of positive integer factors of 30640 that divides 30625 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 383, 766, 1532, 1915, 3064, 3830, 6128, 7660, 15320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30625 and 30640. The biggest common factor number is the GCF number.
So the greatest common factor 30625 and 30640 is 5.

Also check out the Least Common Multiple of 30625 and 30640