What is the Greatest Common Factor of 48625 and 48631?

Greatest common factor (GCF) of 48625 and 48631 is 1.

GCF(48625,48631) = 1

We will now calculate the prime factors of 48625 and 48631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48625 and 48631.

How to find the GCF of 48625 and 48631?

We will first find the prime factorization of 48625 and 48631. After we will calculate the factors of 48625 and 48631 and find the biggest common factor number .

Step-1: Prime Factorization of 48625

Prime factors of 48625 are 5, 389. Prime factorization of 48625 in exponential form is:

48625 = 5³ × 389¹

Step-2: Prime Factorization of 48631

Prime factors of 48631 are 11, 4421. Prime factorization of 48631 in exponential form is:

48631 = 11¹ × 4421¹

Step-3: Factors of 48625

List of positive integer factors of 48625 that divides 48625 without a remainder.

1, 5, 25, 125, 389, 1945, 9725

Step-4: Factors of 48631

List of positive integer factors of 48631 that divides 48625 without a remainder.

1, 11, 4421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48625 and 48631. The biggest common factor number is the GCF number.
So the greatest common factor 48625 and 48631 is 1.

Also check out the Least Common Multiple of 48625 and 48631