What is the Greatest Common Factor of 48635 and 48646?

Greatest common factor (GCF) of 48635 and 48646 is 1.

GCF(48635,48646) = 1

We will now calculate the prime factors of 48635 and 48646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48635 and 48646.

How to find the GCF of 48635 and 48646?

We will first find the prime factorization of 48635 and 48646. After we will calculate the factors of 48635 and 48646 and find the biggest common factor number .

Step-1: Prime Factorization of 48635

Prime factors of 48635 are 5, 71, 137. Prime factorization of 48635 in exponential form is:

48635 = 5¹ × 71¹ × 137¹

Step-2: Prime Factorization of 48646

Prime factors of 48646 are 2, 13, 1871. Prime factorization of 48646 in exponential form is:

48646 = 2¹ × 13¹ × 1871¹

Step-3: Factors of 48635

List of positive integer factors of 48635 that divides 48635 without a remainder.

1, 5, 71, 137, 355, 685, 9727

Step-4: Factors of 48646

List of positive integer factors of 48646 that divides 48635 without a remainder.

1, 2, 13, 26, 1871, 3742, 24323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48635 and 48646. The biggest common factor number is the GCF number.
So the greatest common factor 48635 and 48646 is 1.

Also check out the Least Common Multiple of 48635 and 48646