What is the Greatest Common Factor of 3674 and 3685?

Greatest common factor (GCF) of 3674 and 3685 is 11.

GCF(3674,3685) = 11

We will now calculate the prime factors of 3674 and 3685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3674 and 3685.

How to find the GCF of 3674 and 3685?

We will first find the prime factorization of 3674 and 3685. After we will calculate the factors of 3674 and 3685 and find the biggest common factor number .

Step-1: Prime Factorization of 3674

Prime factors of 3674 are 2, 11, 167. Prime factorization of 3674 in exponential form is:

3674 = 2¹ × 11¹ × 167¹

Step-2: Prime Factorization of 3685

Prime factors of 3685 are 5, 11, 67. Prime factorization of 3685 in exponential form is:

3685 = 5¹ × 11¹ × 67¹

Step-3: Factors of 3674

List of positive integer factors of 3674 that divides 3674 without a remainder.

1, 2, 11, 22, 167, 334, 1837

Step-4: Factors of 3685

List of positive integer factors of 3685 that divides 3674 without a remainder.

1, 5, 11, 55, 67, 335, 737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3674 and 3685. The biggest common factor number is the GCF number.
So the greatest common factor 3674 and 3685 is 11.

Also check out the Least Common Multiple of 3674 and 3685