What is the Greatest Common Factor of 36755 and 36770?

Greatest common factor (GCF) of 36755 and 36770 is 5.

GCF(36755,36770) = 5

We will now calculate the prime factors of 36755 and 36770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36755 and 36770.

How to find the GCF of 36755 and 36770?

We will first find the prime factorization of 36755 and 36770. After we will calculate the factors of 36755 and 36770 and find the biggest common factor number .

Step-1: Prime Factorization of 36755

Prime factors of 36755 are 5, 7351. Prime factorization of 36755 in exponential form is:

36755 = 5¹ × 7351¹

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 36755

List of positive integer factors of 36755 that divides 36755 without a remainder.

1, 5, 7351

Step-4: Factors of 36770

List of positive integer factors of 36770 that divides 36755 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36755 and 36770. The biggest common factor number is the GCF number.
So the greatest common factor 36755 and 36770 is 5.

Also check out the Least Common Multiple of 36755 and 36770