What is the Greatest Common Factor of 49929 and 49937?

Greatest common factor (GCF) of 49929 and 49937 is 1.

GCF(49929,49937) = 1

We will now calculate the prime factors of 49929 and 49937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49929 and 49937.

How to find the GCF of 49929 and 49937?

We will first find the prime factorization of 49929 and 49937. After we will calculate the factors of 49929 and 49937 and find the biggest common factor number .

Step-1: Prime Factorization of 49929

Prime factors of 49929 are 3, 11, 17, 89. Prime factorization of 49929 in exponential form is:

49929 = 3¹ × 11¹ × 17¹ × 89¹

Step-2: Prime Factorization of 49937

Prime factors of 49937 are 49937. Prime factorization of 49937 in exponential form is:

49937 = 49937¹

Step-3: Factors of 49929

List of positive integer factors of 49929 that divides 49929 without a remainder.

1, 3, 11, 17, 33, 51, 89, 187, 267, 561, 979, 1513, 2937, 4539, 16643

Step-4: Factors of 49937

List of positive integer factors of 49937 that divides 49929 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49929 and 49937. The biggest common factor number is the GCF number.
So the greatest common factor 49929 and 49937 is 1.

Also check out the Least Common Multiple of 49929 and 49937