What is the Greatest Common Factor of 1362 and 1372?

Greatest common factor (GCF) of 1362 and 1372 is 2.

GCF(1362,1372) = 2

We will now calculate the prime factors of 1362 and 1372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1362 and 1372.

How to find the GCF of 1362 and 1372?

We will first find the prime factorization of 1362 and 1372. After we will calculate the factors of 1362 and 1372 and find the biggest common factor number .

Step-1: Prime Factorization of 1362

Prime factors of 1362 are 2, 3, 227. Prime factorization of 1362 in exponential form is:

1362 = 2¹ × 3¹ × 227¹

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 1362

List of positive integer factors of 1362 that divides 1362 without a remainder.

1, 2, 3, 6, 227, 454, 681

Step-4: Factors of 1372

List of positive integer factors of 1372 that divides 1362 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 1362 and 1372. The biggest common factor number is the GCF number.
So the greatest common factor 1362 and 1372 is 2.

Also check out the Least Common Multiple of 1362 and 1372