What is the Greatest Common Factor of 36930 and 36940?

Greatest common factor (GCF) of 36930 and 36940 is 10.

GCF(36930,36940) = 10

We will now calculate the prime factors of 36930 and 36940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36930 and 36940.

How to find the GCF of 36930 and 36940?

We will first find the prime factorization of 36930 and 36940. After we will calculate the factors of 36930 and 36940 and find the biggest common factor number .

Step-1: Prime Factorization of 36930

Prime factors of 36930 are 2, 3, 5, 1231. Prime factorization of 36930 in exponential form is:

36930 = 2¹ × 3¹ × 5¹ × 1231¹

Step-2: Prime Factorization of 36940

Prime factors of 36940 are 2, 5, 1847. Prime factorization of 36940 in exponential form is:

36940 = 2² × 5¹ × 1847¹

Step-3: Factors of 36930

List of positive integer factors of 36930 that divides 36930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1231, 2462, 3693, 6155, 7386, 12310, 18465

Step-4: Factors of 36940

List of positive integer factors of 36940 that divides 36930 without a remainder.

1, 2, 4, 5, 10, 20, 1847, 3694, 7388, 9235, 18470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36930 and 36940. The biggest common factor number is the GCF number.
So the greatest common factor 36930 and 36940 is 10.

Also check out the Least Common Multiple of 36930 and 36940