What is the Greatest Common Factor of 48475 and 48490?

Greatest common factor (GCF) of 48475 and 48490 is 5.

GCF(48475,48490) = 5

We will now calculate the prime factors of 48475 and 48490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48475 and 48490.

How to find the GCF of 48475 and 48490?

We will first find the prime factorization of 48475 and 48490. After we will calculate the factors of 48475 and 48490 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 48490

Prime factors of 48490 are 2, 5, 13, 373. Prime factorization of 48490 in exponential form is:

48490 = 2¹ × 5¹ × 13¹ × 373¹

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 48490

List of positive integer factors of 48490 that divides 48475 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 373, 746, 1865, 3730, 4849, 9698, 24245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48475 and 48490. The biggest common factor number is the GCF number.
So the greatest common factor 48475 and 48490 is 5.

Also check out the Least Common Multiple of 48475 and 48490