What is the Greatest Common Factor of 1672 and 1678?

Greatest common factor (GCF) of 1672 and 1678 is 2.

GCF(1672,1678) = 2

We will now calculate the prime factors of 1672 and 1678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1672 and 1678.

How to find the GCF of 1672 and 1678?

We will first find the prime factorization of 1672 and 1678. After we will calculate the factors of 1672 and 1678 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1678

Prime factors of 1678 are 2, 839. Prime factorization of 1678 in exponential form is:

1678 = 2¹ × 839¹

Step-3: Factors of 1672

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

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

Step-4: Factors of 1678

List of positive integer factors of 1678 that divides 1672 without a remainder.

1, 2, 839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1672 and 1678. The biggest common factor number is the GCF number.
So the greatest common factor 1672 and 1678 is 2.

Also check out the Least Common Multiple of 1672 and 1678