What is the Greatest Common Factor of 49924 and 49943?

Greatest common factor (GCF) of 49924 and 49943 is 1.

GCF(49924,49943) = 1

We will now calculate the prime factors of 49924 and 49943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49924 and 49943.

How to find the GCF of 49924 and 49943?

We will first find the prime factorization of 49924 and 49943. After we will calculate the factors of 49924 and 49943 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 49943

Prime factors of 49943 are 49943. Prime factorization of 49943 in exponential form is:

49943 = 49943¹

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 49943

List of positive integer factors of 49943 that divides 49924 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49924 and 49943. The biggest common factor number is the GCF number.
So the greatest common factor 49924 and 49943 is 1.

Also check out the Least Common Multiple of 49924 and 49943