What is the Greatest Common Factor of 3724 and 3742?

Greatest common factor (GCF) of 3724 and 3742 is 2.

GCF(3724,3742) = 2

We will now calculate the prime factors of 3724 and 3742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3724 and 3742.

How to find the GCF of 3724 and 3742?

We will first find the prime factorization of 3724 and 3742. After we will calculate the factors of 3724 and 3742 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 3742

Prime factors of 3742 are 2, 1871. Prime factorization of 3742 in exponential form is:

3742 = 2¹ × 1871¹

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 3742

List of positive integer factors of 3742 that divides 3724 without a remainder.

1, 2, 1871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3724 and 3742. The biggest common factor number is the GCF number.
So the greatest common factor 3724 and 3742 is 2.

Also check out the Least Common Multiple of 3724 and 3742