What is the Greatest Common Factor of 49924 and 49942?

Greatest common factor (GCF) of 49924 and 49942 is 2.

GCF(49924,49942) = 2

We will now calculate the prime factors of 49924 and 49942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49924 and 49942.

How to find the GCF of 49924 and 49942?

We will first find the prime factorization of 49924 and 49942. After we will calculate the factors of 49924 and 49942 and find the biggest common factor number .

Step-1: Prime Factorization of 49924

Prime factors of 49924 are 2, 7, 1783. Prime factorization of 49924 in exponential form is:

49924 = 2² × 7¹ × 1783¹

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 49924

List of positive integer factors of 49924 that divides 49924 without a remainder.

1, 2, 4, 7, 14, 28, 1783, 3566, 7132, 12481, 24962

Step-4: Factors of 49942

List of positive integer factors of 49942 that divides 49924 without a remainder.

1, 2, 24971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49924 and 49942. The biggest common factor number is the GCF number.
So the greatest common factor 49924 and 49942 is 2.

Also check out the Least Common Multiple of 49924 and 49942