What is the Greatest Common Factor of 48658 and 48662?

Greatest common factor (GCF) of 48658 and 48662 is 2.

GCF(48658,48662) = 2

We will now calculate the prime factors of 48658 and 48662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48658 and 48662.

How to find the GCF of 48658 and 48662?

We will first find the prime factorization of 48658 and 48662. After we will calculate the factors of 48658 and 48662 and find the biggest common factor number .

Step-1: Prime Factorization of 48658

Prime factors of 48658 are 2, 24329. Prime factorization of 48658 in exponential form is:

48658 = 2¹ × 24329¹

Step-2: Prime Factorization of 48662

Prime factors of 48662 are 2, 29, 839. Prime factorization of 48662 in exponential form is:

48662 = 2¹ × 29¹ × 839¹

Step-3: Factors of 48658

List of positive integer factors of 48658 that divides 48658 without a remainder.

1, 2, 24329

Step-4: Factors of 48662

List of positive integer factors of 48662 that divides 48658 without a remainder.

1, 2, 29, 58, 839, 1678, 24331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48658 and 48662. The biggest common factor number is the GCF number.
So the greatest common factor 48658 and 48662 is 2.

Also check out the Least Common Multiple of 48658 and 48662