What is the Greatest Common Factor of 4921 and 4940?

Greatest common factor (GCF) of 4921 and 4940 is 19.

GCF(4921,4940) = 19

We will now calculate the prime factors of 4921 and 4940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4921 and 4940.

How to find the GCF of 4921 and 4940?

We will first find the prime factorization of 4921 and 4940. After we will calculate the factors of 4921 and 4940 and find the biggest common factor number .

Step-1: Prime Factorization of 4921

Prime factors of 4921 are 7, 19, 37. Prime factorization of 4921 in exponential form is:

4921 = 7¹ × 19¹ × 37¹

Step-2: Prime Factorization of 4940

Prime factors of 4940 are 2, 5, 13, 19. Prime factorization of 4940 in exponential form is:

4940 = 2² × 5¹ × 13¹ × 19¹

Step-3: Factors of 4921

List of positive integer factors of 4921 that divides 4921 without a remainder.

1, 7, 19, 37, 133, 259, 703

Step-4: Factors of 4940

List of positive integer factors of 4940 that divides 4921 without a remainder.

1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4921 and 4940. The biggest common factor number is the GCF number.
So the greatest common factor 4921 and 4940 is 19.

Also check out the Least Common Multiple of 4921 and 4940