What is the Greatest Common Factor of 49924 and 49931?

Greatest common factor (GCF) of 49924 and 49931 is 7.

GCF(49924,49931) = 7

We will now calculate the prime factors of 49924 and 49931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49924 and 49931.

How to find the GCF of 49924 and 49931?

We will first find the prime factorization of 49924 and 49931. After we will calculate the factors of 49924 and 49931 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 49931

Prime factors of 49931 are 7, 1019. Prime factorization of 49931 in exponential form is:

49931 = 7² × 1019¹

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 49931

List of positive integer factors of 49931 that divides 49924 without a remainder.

1, 7, 49, 1019, 7133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49924 and 49931. The biggest common factor number is the GCF number.
So the greatest common factor 49924 and 49931 is 7.

Also check out the Least Common Multiple of 49924 and 49931