What is the Greatest Common Factor of 3654 and 3667?

Greatest common factor (GCF) of 3654 and 3667 is 1.

GCF(3654,3667) = 1

We will now calculate the prime factors of 3654 and 3667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3654 and 3667.

How to find the GCF of 3654 and 3667?

We will first find the prime factorization of 3654 and 3667. After we will calculate the factors of 3654 and 3667 and find the biggest common factor number .

Step-1: Prime Factorization of 3654

Prime factors of 3654 are 2, 3, 7, 29. Prime factorization of 3654 in exponential form is:

3654 = 2¹ × 3² × 7¹ × 29¹

Step-2: Prime Factorization of 3667

Prime factors of 3667 are 19, 193. Prime factorization of 3667 in exponential form is:

3667 = 19¹ × 193¹

Step-3: Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827

Step-4: Factors of 3667

List of positive integer factors of 3667 that divides 3654 without a remainder.

1, 19, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3654 and 3667. The biggest common factor number is the GCF number.
So the greatest common factor 3654 and 3667 is 1.

Also check out the Least Common Multiple of 3654 and 3667