What is the Greatest Common Factor of 48614 and 48632?

Greatest common factor (GCF) of 48614 and 48632 is 2.

GCF(48614,48632) = 2

We will now calculate the prime factors of 48614 and 48632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48614 and 48632.

How to find the GCF of 48614 and 48632?

We will first find the prime factorization of 48614 and 48632. After we will calculate the factors of 48614 and 48632 and find the biggest common factor number .

Step-1: Prime Factorization of 48614

Prime factors of 48614 are 2, 109, 223. Prime factorization of 48614 in exponential form is:

48614 = 2¹ × 109¹ × 223¹

Step-2: Prime Factorization of 48632

Prime factors of 48632 are 2, 6079. Prime factorization of 48632 in exponential form is:

48632 = 2³ × 6079¹

Step-3: Factors of 48614

List of positive integer factors of 48614 that divides 48614 without a remainder.

1, 2, 109, 218, 223, 446, 24307

Step-4: Factors of 48632

List of positive integer factors of 48632 that divides 48614 without a remainder.

1, 2, 4, 8, 6079, 12158, 24316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48614 and 48632. The biggest common factor number is the GCF number.
So the greatest common factor 48614 and 48632 is 2.

Also check out the Least Common Multiple of 48614 and 48632