What is the Greatest Common Factor of 3724 and 3743?

Greatest common factor (GCF) of 3724 and 3743 is 19.

GCF(3724,3743) = 19

We will now calculate the prime factors of 3724 and 3743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3724 and 3743.

How to find the GCF of 3724 and 3743?

We will first find the prime factorization of 3724 and 3743. After we will calculate the factors of 3724 and 3743 and find the biggest common factor number .

Step-1: Prime Factorization of 3724

Prime factors of 3724 are 2, 7, 19. Prime factorization of 3724 in exponential form is:

3724 = 2² × 7² × 19¹

Step-2: Prime Factorization of 3743

Prime factors of 3743 are 19, 197. Prime factorization of 3743 in exponential form is:

3743 = 19¹ × 197¹

Step-3: Factors of 3724

List of positive integer factors of 3724 that divides 3724 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862

Step-4: Factors of 3743

List of positive integer factors of 3743 that divides 3724 without a remainder.

1, 19, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3724 and 3743. The biggest common factor number is the GCF number.
So the greatest common factor 3724 and 3743 is 19.

Also check out the Least Common Multiple of 3724 and 3743