What is the Greatest Common Factor of 3658 and 3676?

Greatest common factor (GCF) of 3658 and 3676 is 2.

GCF(3658,3676) = 2

We will now calculate the prime factors of 3658 and 3676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3658 and 3676.

How to find the GCF of 3658 and 3676?

We will first find the prime factorization of 3658 and 3676. After we will calculate the factors of 3658 and 3676 and find the biggest common factor number .

Step-1: Prime Factorization of 3658

Prime factors of 3658 are 2, 31, 59. Prime factorization of 3658 in exponential form is:

3658 = 2¹ × 31¹ × 59¹

Step-2: Prime Factorization of 3676

Prime factors of 3676 are 2, 919. Prime factorization of 3676 in exponential form is:

3676 = 2² × 919¹

Step-3: Factors of 3658

List of positive integer factors of 3658 that divides 3658 without a remainder.

1, 2, 31, 59, 62, 118, 1829

Step-4: Factors of 3676

List of positive integer factors of 3676 that divides 3658 without a remainder.

1, 2, 4, 919, 1838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3658 and 3676. The biggest common factor number is the GCF number.
So the greatest common factor 3658 and 3676 is 2.

Also check out the Least Common Multiple of 3658 and 3676