What is the Greatest Common Factor of 37367 and 37378?

Greatest common factor (GCF) of 37367 and 37378 is 11.

GCF(37367,37378) = 11

We will now calculate the prime factors of 37367 and 37378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37367 and 37378.

How to find the GCF of 37367 and 37378?

We will first find the prime factorization of 37367 and 37378. After we will calculate the factors of 37367 and 37378 and find the biggest common factor number .

Step-1: Prime Factorization of 37367

Prime factors of 37367 are 11, 43, 79. Prime factorization of 37367 in exponential form is:

37367 = 11¹ × 43¹ × 79¹

Step-2: Prime Factorization of 37378

Prime factors of 37378 are 2, 11, 1699. Prime factorization of 37378 in exponential form is:

37378 = 2¹ × 11¹ × 1699¹

Step-3: Factors of 37367

List of positive integer factors of 37367 that divides 37367 without a remainder.

1, 11, 43, 79, 473, 869, 3397

Step-4: Factors of 37378

List of positive integer factors of 37378 that divides 37367 without a remainder.

1, 2, 11, 22, 1699, 3398, 18689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37367 and 37378. The biggest common factor number is the GCF number.
So the greatest common factor 37367 and 37378 is 11.

Also check out the Least Common Multiple of 37367 and 37378