What is the Greatest Common Factor of 48998 and 49016?

Greatest common factor (GCF) of 48998 and 49016 is 2.

GCF(48998,49016) = 2

We will now calculate the prime factors of 48998 and 49016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48998 and 49016.

How to find the GCF of 48998 and 49016?

We will first find the prime factorization of 48998 and 49016. After we will calculate the factors of 48998 and 49016 and find the biggest common factor number .

Step-1: Prime Factorization of 48998

Prime factors of 48998 are 2, 24499. Prime factorization of 48998 in exponential form is:

48998 = 2¹ × 24499¹

Step-2: Prime Factorization of 49016

Prime factors of 49016 are 2, 11, 557. Prime factorization of 49016 in exponential form is:

49016 = 2³ × 11¹ × 557¹

Step-3: Factors of 48998

List of positive integer factors of 48998 that divides 48998 without a remainder.

1, 2, 24499

Step-4: Factors of 49016

List of positive integer factors of 49016 that divides 48998 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 557, 1114, 2228, 4456, 6127, 12254, 24508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48998 and 49016. The biggest common factor number is the GCF number.
So the greatest common factor 48998 and 49016 is 2.

Also check out the Least Common Multiple of 48998 and 49016