What is the Greatest Common Factor of 3712 and 3723?

Greatest common factor (GCF) of 3712 and 3723 is 1.

GCF(3712,3723) = 1

We will now calculate the prime factors of 3712 and 3723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3712 and 3723.

How to find the GCF of 3712 and 3723?

We will first find the prime factorization of 3712 and 3723. After we will calculate the factors of 3712 and 3723 and find the biggest common factor number .

Step-1: Prime Factorization of 3712

Prime factors of 3712 are 2, 29. Prime factorization of 3712 in exponential form is:

3712 = 2⁷ × 29¹

Step-2: Prime Factorization of 3723

Prime factors of 3723 are 3, 17, 73. Prime factorization of 3723 in exponential form is:

3723 = 3¹ × 17¹ × 73¹

Step-3: Factors of 3712

List of positive integer factors of 3712 that divides 3712 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856

Step-4: Factors of 3723

List of positive integer factors of 3723 that divides 3712 without a remainder.

1, 3, 17, 51, 73, 219, 1241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3712 and 3723. The biggest common factor number is the GCF number.
So the greatest common factor 3712 and 3723 is 1.

Also check out the Least Common Multiple of 3712 and 3723