What is the Greatest Common Factor of 1372 and 1392?

Greatest common factor (GCF) of 1372 and 1392 is 4.

GCF(1372,1392) = 4

We will now calculate the prime factors of 1372 and 1392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1372 and 1392.

How to find the GCF of 1372 and 1392?

We will first find the prime factorization of 1372 and 1392. After we will calculate the factors of 1372 and 1392 and find the biggest common factor number .

Step-1: Prime Factorization of 1372

Prime factors of 1372 are 2, 7. Prime factorization of 1372 in exponential form is:

1372 = 2² × 7³

Step-2: Prime Factorization of 1392

Prime factors of 1392 are 2, 3, 29. Prime factorization of 1392 in exponential form is:

1392 = 2⁴ × 3¹ × 29¹

Step-3: Factors of 1372

List of positive integer factors of 1372 that divides 1372 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686

Step-4: Factors of 1392

List of positive integer factors of 1392 that divides 1372 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1372 and 1392. The biggest common factor number is the GCF number.
So the greatest common factor 1372 and 1392 is 4.

Also check out the Least Common Multiple of 1372 and 1392