What is the Greatest Common Factor of 3692 and 3707?

Greatest common factor (GCF) of 3692 and 3707 is 1.

GCF(3692,3707) = 1

We will now calculate the prime factors of 3692 and 3707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3692 and 3707.

How to find the GCF of 3692 and 3707?

We will first find the prime factorization of 3692 and 3707. After we will calculate the factors of 3692 and 3707 and find the biggest common factor number .

Step-1: Prime Factorization of 3692

Prime factors of 3692 are 2, 13, 71. Prime factorization of 3692 in exponential form is:

3692 = 2² × 13¹ × 71¹

Step-2: Prime Factorization of 3707

Prime factors of 3707 are 11, 337. Prime factorization of 3707 in exponential form is:

3707 = 11¹ × 337¹

Step-3: Factors of 3692

List of positive integer factors of 3692 that divides 3692 without a remainder.

1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846

Step-4: Factors of 3707

List of positive integer factors of 3707 that divides 3692 without a remainder.

1, 11, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3692 and 3707. The biggest common factor number is the GCF number.
So the greatest common factor 3692 and 3707 is 1.

Also check out the Least Common Multiple of 3692 and 3707