What is the Greatest Common Factor of 36970 and 36990?

Greatest common factor (GCF) of 36970 and 36990 is 10.

GCF(36970,36990) = 10

We will now calculate the prime factors of 36970 and 36990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36970 and 36990.

How to find the GCF of 36970 and 36990?

We will first find the prime factorization of 36970 and 36990. After we will calculate the factors of 36970 and 36990 and find the biggest common factor number .

Step-1: Prime Factorization of 36970

Prime factors of 36970 are 2, 5, 3697. Prime factorization of 36970 in exponential form is:

36970 = 2¹ × 5¹ × 3697¹

Step-2: Prime Factorization of 36990

Prime factors of 36990 are 2, 3, 5, 137. Prime factorization of 36990 in exponential form is:

36990 = 2¹ × 3³ × 5¹ × 137¹

Step-3: Factors of 36970

List of positive integer factors of 36970 that divides 36970 without a remainder.

1, 2, 5, 10, 3697, 7394, 18485

Step-4: Factors of 36990

List of positive integer factors of 36990 that divides 36970 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 137, 270, 274, 411, 685, 822, 1233, 1370, 2055, 2466, 3699, 4110, 6165, 7398, 12330, 18495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36970 and 36990. The biggest common factor number is the GCF number.
So the greatest common factor 36970 and 36990 is 10.

Also check out the Least Common Multiple of 36970 and 36990