What is the Greatest Common Factor of 36966 and 36974?

Greatest common factor (GCF) of 36966 and 36974 is 2.

GCF(36966,36974) = 2

We will now calculate the prime factors of 36966 and 36974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36966 and 36974.

How to find the GCF of 36966 and 36974?

We will first find the prime factorization of 36966 and 36974. After we will calculate the factors of 36966 and 36974 and find the biggest common factor number .

Step-1: Prime Factorization of 36966

Prime factors of 36966 are 2, 3, 61, 101. Prime factorization of 36966 in exponential form is:

36966 = 2¹ × 3¹ × 61¹ × 101¹

Step-2: 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-3: Factors of 36966

List of positive integer factors of 36966 that divides 36966 without a remainder.

1, 2, 3, 6, 61, 101, 122, 183, 202, 303, 366, 606, 6161, 12322, 18483

Step-4: Factors of 36974

List of positive integer factors of 36974 that divides 36966 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36966 and 36974. The biggest common factor number is the GCF number.
So the greatest common factor 36966 and 36974 is 2.

Also check out the Least Common Multiple of 36966 and 36974