What is the Greatest Common Factor of 1358 and 1372?

Greatest common factor (GCF) of 1358 and 1372 is 14.

GCF(1358,1372) = 14

We will now calculate the prime factors of 1358 and 1372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1358 and 1372.

How to find the GCF of 1358 and 1372?

We will first find the prime factorization of 1358 and 1372. After we will calculate the factors of 1358 and 1372 and find the biggest common factor number .

Step-1: Prime Factorization of 1358

Prime factors of 1358 are 2, 7, 97. Prime factorization of 1358 in exponential form is:

1358 = 2¹ × 7¹ × 97¹

Step-2: Prime Factorization of 1372

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

1372 = 2² × 7³

Step-3: Factors of 1358

List of positive integer factors of 1358 that divides 1358 without a remainder.

1, 2, 7, 14, 97, 194, 679

Step-4: Factors of 1372

List of positive integer factors of 1372 that divides 1358 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1358 and 1372. The biggest common factor number is the GCF number.
So the greatest common factor 1358 and 1372 is 14.

Also check out the Least Common Multiple of 1358 and 1372