What is the Greatest Common Factor of 36760 and 36770?

Greatest common factor (GCF) of 36760 and 36770 is 10.

GCF(36760,36770) = 10

We will now calculate the prime factors of 36760 and 36770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36760 and 36770.

How to find the GCF of 36760 and 36770?

We will first find the prime factorization of 36760 and 36770. After we will calculate the factors of 36760 and 36770 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 36770

Prime factors of 36770 are 2, 5, 3677. Prime factorization of 36770 in exponential form is:

36770 = 2¹ × 5¹ × 3677¹

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 36770

List of positive integer factors of 36770 that divides 36760 without a remainder.

1, 2, 5, 10, 3677, 7354, 18385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36760 and 36770. The biggest common factor number is the GCF number.
So the greatest common factor 36760 and 36770 is 10.

Also check out the Least Common Multiple of 36760 and 36770