What is the Greatest Common Factor of 48725 and 48730?

Greatest common factor (GCF) of 48725 and 48730 is 5.

GCF(48725,48730) = 5

We will now calculate the prime factors of 48725 and 48730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48725 and 48730.

How to find the GCF of 48725 and 48730?

We will first find the prime factorization of 48725 and 48730. After we will calculate the factors of 48725 and 48730 and find the biggest common factor number .

Step-1: Prime Factorization of 48725

Prime factors of 48725 are 5, 1949. Prime factorization of 48725 in exponential form is:

48725 = 5² × 1949¹

Step-2: Prime Factorization of 48730

Prime factors of 48730 are 2, 5, 11, 443. Prime factorization of 48730 in exponential form is:

48730 = 2¹ × 5¹ × 11¹ × 443¹

Step-3: Factors of 48725

List of positive integer factors of 48725 that divides 48725 without a remainder.

1, 5, 25, 1949, 9745

Step-4: Factors of 48730

List of positive integer factors of 48730 that divides 48725 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 443, 886, 2215, 4430, 4873, 9746, 24365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48725 and 48730. The biggest common factor number is the GCF number.
So the greatest common factor 48725 and 48730 is 5.

Also check out the Least Common Multiple of 48725 and 48730