What is the Greatest Common Factor of 1658 and 1672?

Greatest common factor (GCF) of 1658 and 1672 is 2.

GCF(1658,1672) = 2

We will now calculate the prime factors of 1658 and 1672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1658 and 1672.

How to find the GCF of 1658 and 1672?

We will first find the prime factorization of 1658 and 1672. After we will calculate the factors of 1658 and 1672 and find the biggest common factor number .

Step-1: Prime Factorization of 1658

Prime factors of 1658 are 2, 829. Prime factorization of 1658 in exponential form is:

1658 = 2¹ × 829¹

Step-2: Prime Factorization of 1672

Prime factors of 1672 are 2, 11, 19. Prime factorization of 1672 in exponential form is:

1672 = 2³ × 11¹ × 19¹

Step-3: Factors of 1658

List of positive integer factors of 1658 that divides 1658 without a remainder.

1, 2, 829

Step-4: Factors of 1672

List of positive integer factors of 1672 that divides 1658 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1658 and 1672. The biggest common factor number is the GCF number.
So the greatest common factor 1658 and 1672 is 2.

Also check out the Least Common Multiple of 1658 and 1672