What is the Greatest Common Factor of 3700 and 3716?

Greatest common factor (GCF) of 3700 and 3716 is 4.

GCF(3700,3716) = 4

We will now calculate the prime factors of 3700 and 3716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3700 and 3716.

How to find the GCF of 3700 and 3716?

We will first find the prime factorization of 3700 and 3716. After we will calculate the factors of 3700 and 3716 and find the biggest common factor number .

Step-1: Prime Factorization of 3700

Prime factors of 3700 are 2, 5, 37. Prime factorization of 3700 in exponential form is:

3700 = 2² × 5² × 37¹

Step-2: Prime Factorization of 3716

Prime factors of 3716 are 2, 929. Prime factorization of 3716 in exponential form is:

3716 = 2² × 929¹

Step-3: Factors of 3700

List of positive integer factors of 3700 that divides 3700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850

Step-4: Factors of 3716

List of positive integer factors of 3716 that divides 3700 without a remainder.

1, 2, 4, 929, 1858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3700 and 3716. The biggest common factor number is the GCF number.
So the greatest common factor 3700 and 3716 is 4.

Also check out the Least Common Multiple of 3700 and 3716