What is the Greatest Common Factor of 36760 and 36768?

Greatest common factor (GCF) of 36760 and 36768 is 8.

GCF(36760,36768) = 8

We will now calculate the prime factors of 36760 and 36768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36760 and 36768.

How to find the GCF of 36760 and 36768?

We will first find the prime factorization of 36760 and 36768. After we will calculate the factors of 36760 and 36768 and find the biggest common factor number .

Step-1: Prime Factorization of 36760

Prime factors of 36760 are 2, 5, 919. Prime factorization of 36760 in exponential form is:

36760 = 2³ × 5¹ × 919¹

Step-2: Prime Factorization of 36768

Prime factors of 36768 are 2, 3, 383. Prime factorization of 36768 in exponential form is:

36768 = 2⁵ × 3¹ × 383¹

Step-3: Factors of 36760

List of positive integer factors of 36760 that divides 36760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 919, 1838, 3676, 4595, 7352, 9190, 18380

Step-4: Factors of 36768

List of positive integer factors of 36768 that divides 36760 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 383, 766, 1149, 1532, 2298, 3064, 4596, 6128, 9192, 12256, 18384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36760 and 36768. The biggest common factor number is the GCF number.
So the greatest common factor 36760 and 36768 is 8.

Also check out the Least Common Multiple of 36760 and 36768