What is the Greatest Common Factor of 36974 and 36990?

Greatest common factor (GCF) of 36974 and 36990 is 2.

GCF(36974,36990) = 2

We will now calculate the prime factors of 36974 and 36990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36974 and 36990.

How to find the GCF of 36974 and 36990?

We will first find the prime factorization of 36974 and 36990. After we will calculate the factors of 36974 and 36990 and find the biggest common factor number .

Step-1: Prime Factorization of 36974

Prime factors of 36974 are 2, 7, 19, 139. Prime factorization of 36974 in exponential form is:

36974 = 2¹ × 7¹ × 19¹ × 139¹

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 36974

List of positive integer factors of 36974 that divides 36974 without a remainder.

1, 2, 7, 14, 19, 38, 133, 139, 266, 278, 973, 1946, 2641, 5282, 18487

Step-4: Factors of 36990

List of positive integer factors of 36990 that divides 36974 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 36974 and 36990. The biggest common factor number is the GCF number.
So the greatest common factor 36974 and 36990 is 2.

Also check out the Least Common Multiple of 36974 and 36990