What is the Greatest Common Factor of 48475 and 48482?

Greatest common factor (GCF) of 48475 and 48482 is 7.

GCF(48475,48482) = 7

We will now calculate the prime factors of 48475 and 48482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48475 and 48482.

How to find the GCF of 48475 and 48482?

We will first find the prime factorization of 48475 and 48482. After we will calculate the factors of 48475 and 48482 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48482

Prime factors of 48482 are 2, 7, 3463. Prime factorization of 48482 in exponential form is:

48482 = 2¹ × 7¹ × 3463¹

Step-3: Factors of 48475

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

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

Step-4: Factors of 48482

List of positive integer factors of 48482 that divides 48475 without a remainder.

1, 2, 7, 14, 3463, 6926, 24241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48475 and 48482. The biggest common factor number is the GCF number.
So the greatest common factor 48475 and 48482 is 7.

Also check out the Least Common Multiple of 48475 and 48482