What is the Greatest Common Factor of 49926 and 49942?

Greatest common factor (GCF) of 49926 and 49942 is 2.

GCF(49926,49942) = 2

We will now calculate the prime factors of 49926 and 49942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49926 and 49942.

How to find the GCF of 49926 and 49942?

We will first find the prime factorization of 49926 and 49942. After we will calculate the factors of 49926 and 49942 and find the biggest common factor number .

Step-1: Prime Factorization of 49926

Prime factors of 49926 are 2, 3, 53, 157. Prime factorization of 49926 in exponential form is:

49926 = 2¹ × 3¹ × 53¹ × 157¹

Step-2: Prime Factorization of 49942

Prime factors of 49942 are 2, 24971. Prime factorization of 49942 in exponential form is:

49942 = 2¹ × 24971¹

Step-3: Factors of 49926

List of positive integer factors of 49926 that divides 49926 without a remainder.

1, 2, 3, 6, 53, 106, 157, 159, 314, 318, 471, 942, 8321, 16642, 24963

Step-4: Factors of 49942

List of positive integer factors of 49942 that divides 49926 without a remainder.

1, 2, 24971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49926 and 49942. The biggest common factor number is the GCF number.
So the greatest common factor 49926 and 49942 is 2.

Also check out the Least Common Multiple of 49926 and 49942