What is the Greatest Common Factor of 48598 and 48616?

Greatest common factor (GCF) of 48598 and 48616 is 2.

GCF(48598,48616) = 2

We will now calculate the prime factors of 48598 and 48616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48598 and 48616.

How to find the GCF of 48598 and 48616?

We will first find the prime factorization of 48598 and 48616. After we will calculate the factors of 48598 and 48616 and find the biggest common factor number .

Step-1: Prime Factorization of 48598

Prime factors of 48598 are 2, 11, 47. Prime factorization of 48598 in exponential form is:

48598 = 2¹ × 11¹ × 47²

Step-2: Prime Factorization of 48616

Prime factors of 48616 are 2, 59, 103. Prime factorization of 48616 in exponential form is:

48616 = 2³ × 59¹ × 103¹

Step-3: Factors of 48598

List of positive integer factors of 48598 that divides 48598 without a remainder.

1, 2, 11, 22, 47, 94, 517, 1034, 2209, 4418, 24299

Step-4: Factors of 48616

List of positive integer factors of 48616 that divides 48598 without a remainder.

1, 2, 4, 8, 59, 103, 118, 206, 236, 412, 472, 824, 6077, 12154, 24308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48598 and 48616. The biggest common factor number is the GCF number.
So the greatest common factor 48598 and 48616 is 2.

Also check out the Least Common Multiple of 48598 and 48616