What is the Greatest Common Factor of 3712 and 3729?

Greatest common factor (GCF) of 3712 and 3729 is 1.

GCF(3712,3729) = 1

We will now calculate the prime factors of 3712 and 3729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3712 and 3729.

How to find the GCF of 3712 and 3729?

We will first find the prime factorization of 3712 and 3729. After we will calculate the factors of 3712 and 3729 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 3729

Prime factors of 3729 are 3, 11, 113. Prime factorization of 3729 in exponential form is:

3729 = 3¹ × 11¹ × 113¹

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 3729

List of positive integer factors of 3729 that divides 3712 without a remainder.

1, 3, 11, 33, 113, 339, 1243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3712 and 3729. The biggest common factor number is the GCF number.
So the greatest common factor 3712 and 3729 is 1.

Also check out the Least Common Multiple of 3712 and 3729