What is the Greatest Common Factor of 48975 and 48995?

Greatest common factor (GCF) of 48975 and 48995 is 5.

GCF(48975,48995) = 5

We will now calculate the prime factors of 48975 and 48995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48975 and 48995.

How to find the GCF of 48975 and 48995?

We will first find the prime factorization of 48975 and 48995. After we will calculate the factors of 48975 and 48995 and find the biggest common factor number .

Step-1: Prime Factorization of 48975

Prime factors of 48975 are 3, 5, 653. Prime factorization of 48975 in exponential form is:

48975 = 3¹ × 5² × 653¹

Step-2: Prime Factorization of 48995

Prime factors of 48995 are 5, 41, 239. Prime factorization of 48995 in exponential form is:

48995 = 5¹ × 41¹ × 239¹

Step-3: Factors of 48975

List of positive integer factors of 48975 that divides 48975 without a remainder.

1, 3, 5, 15, 25, 75, 653, 1959, 3265, 9795, 16325

Step-4: Factors of 48995

List of positive integer factors of 48995 that divides 48975 without a remainder.

1, 5, 41, 205, 239, 1195, 9799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48975 and 48995. The biggest common factor number is the GCF number.
So the greatest common factor 48975 and 48995 is 5.

Also check out the Least Common Multiple of 48975 and 48995