What is the Greatest Common Factor of 48625 and 48630?

Greatest common factor (GCF) of 48625 and 48630 is 5.

GCF(48625,48630) = 5

We will now calculate the prime factors of 48625 and 48630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48625 and 48630.

How to find the GCF of 48625 and 48630?

We will first find the prime factorization of 48625 and 48630. After we will calculate the factors of 48625 and 48630 and find the biggest common factor number .

Step-1: Prime Factorization of 48625

Prime factors of 48625 are 5, 389. Prime factorization of 48625 in exponential form is:

48625 = 5³ × 389¹

Step-2: Prime Factorization of 48630

Prime factors of 48630 are 2, 3, 5, 1621. Prime factorization of 48630 in exponential form is:

48630 = 2¹ × 3¹ × 5¹ × 1621¹

Step-3: Factors of 48625

List of positive integer factors of 48625 that divides 48625 without a remainder.

1, 5, 25, 125, 389, 1945, 9725

Step-4: Factors of 48630

List of positive integer factors of 48630 that divides 48625 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1621, 3242, 4863, 8105, 9726, 16210, 24315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48625 and 48630. The biggest common factor number is the GCF number.
So the greatest common factor 48625 and 48630 is 5.

Also check out the Least Common Multiple of 48625 and 48630