What is the Greatest Common Factor of 36974 and 36983?

Greatest common factor (GCF) of 36974 and 36983 is 1.

GCF(36974,36983) = 1

We will now calculate the prime factors of 36974 and 36983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36974 and 36983.

How to find the GCF of 36974 and 36983?

We will first find the prime factorization of 36974 and 36983. After we will calculate the factors of 36974 and 36983 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 36983

Prime factors of 36983 are 31, 1193. Prime factorization of 36983 in exponential form is:

36983 = 31¹ × 1193¹

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 36983

List of positive integer factors of 36983 that divides 36974 without a remainder.

1, 31, 1193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36974 and 36983. The biggest common factor number is the GCF number.
So the greatest common factor 36974 and 36983 is 1.

Also check out the Least Common Multiple of 36974 and 36983