What is the Greatest Common Factor of 49076 and 49082?

Greatest common factor (GCF) of 49076 and 49082 is 2.

GCF(49076,49082) = 2

We will now calculate the prime factors of 49076 and 49082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49076 and 49082.

How to find the GCF of 49076 and 49082?

We will first find the prime factorization of 49076 and 49082. After we will calculate the factors of 49076 and 49082 and find the biggest common factor number .

Step-1: Prime Factorization of 49076

Prime factors of 49076 are 2, 12269. Prime factorization of 49076 in exponential form is:

49076 = 2² × 12269¹

Step-2: Prime Factorization of 49082

Prime factors of 49082 are 2, 11, 23, 97. Prime factorization of 49082 in exponential form is:

49082 = 2¹ × 11¹ × 23¹ × 97¹

Step-3: Factors of 49076

List of positive integer factors of 49076 that divides 49076 without a remainder.

1, 2, 4, 12269, 24538

Step-4: Factors of 49082

List of positive integer factors of 49082 that divides 49076 without a remainder.

1, 2, 11, 22, 23, 46, 97, 194, 253, 506, 1067, 2134, 2231, 4462, 24541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49076 and 49082. The biggest common factor number is the GCF number.
So the greatest common factor 49076 and 49082 is 2.

Also check out the Least Common Multiple of 49076 and 49082