What is the Greatest Common Factor of 36974 and 36982?

Greatest common factor (GCF) of 36974 and 36982 is 2.

GCF(36974,36982) = 2

We will now calculate the prime factors of 36974 and 36982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36974 and 36982.

How to find the GCF of 36974 and 36982?

We will first find the prime factorization of 36974 and 36982. After we will calculate the factors of 36974 and 36982 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 36982

Prime factors of 36982 are 2, 11, 41. Prime factorization of 36982 in exponential form is:

36982 = 2¹ × 11¹ × 41²

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 36982

List of positive integer factors of 36982 that divides 36974 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902, 1681, 3362, 18491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36974 and 36982. The biggest common factor number is the GCF number.
So the greatest common factor 36974 and 36982 is 2.

Also check out the Least Common Multiple of 36974 and 36982