What is the Greatest Common Factor of 48461 and 48475?

Greatest common factor (GCF) of 48461 and 48475 is 7.

GCF(48461,48475) = 7

We will now calculate the prime factors of 48461 and 48475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48461 and 48475.

How to find the GCF of 48461 and 48475?

We will first find the prime factorization of 48461 and 48475. After we will calculate the factors of 48461 and 48475 and find the biggest common factor number .

Step-1: Prime Factorization of 48461

Prime factors of 48461 are 7, 23, 43. Prime factorization of 48461 in exponential form is:

48461 = 7² × 23¹ × 43¹

Step-2: Prime Factorization of 48475

Prime factors of 48475 are 5, 7, 277. Prime factorization of 48475 in exponential form is:

48475 = 5² × 7¹ × 277¹

Step-3: Factors of 48461

List of positive integer factors of 48461 that divides 48461 without a remainder.

1, 7, 23, 43, 49, 161, 301, 989, 1127, 2107, 6923

Step-4: Factors of 48475

List of positive integer factors of 48475 that divides 48461 without a remainder.

1, 5, 7, 25, 35, 175, 277, 1385, 1939, 6925, 9695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48461 and 48475. The biggest common factor number is the GCF number.
So the greatest common factor 48461 and 48475 is 7.

Also check out the Least Common Multiple of 48461 and 48475