What is the Greatest Common Factor of 36946 and 36954?

Greatest common factor (GCF) of 36946 and 36954 is 2.

GCF(36946,36954) = 2

We will now calculate the prime factors of 36946 and 36954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36946 and 36954.

How to find the GCF of 36946 and 36954?

We will first find the prime factorization of 36946 and 36954. After we will calculate the factors of 36946 and 36954 and find the biggest common factor number .

Step-1: Prime Factorization of 36946

Prime factors of 36946 are 2, 7, 13, 29. Prime factorization of 36946 in exponential form is:

36946 = 2¹ × 7² × 13¹ × 29¹

Step-2: Prime Factorization of 36954

Prime factors of 36954 are 2, 3, 2053. Prime factorization of 36954 in exponential form is:

36954 = 2¹ × 3² × 2053¹

Step-3: Factors of 36946

List of positive integer factors of 36946 that divides 36946 without a remainder.

1, 2, 7, 13, 14, 26, 29, 49, 58, 91, 98, 182, 203, 377, 406, 637, 754, 1274, 1421, 2639, 2842, 5278, 18473

Step-4: Factors of 36954

List of positive integer factors of 36954 that divides 36946 without a remainder.

1, 2, 3, 6, 9, 18, 2053, 4106, 6159, 12318, 18477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36946 and 36954. The biggest common factor number is the GCF number.
So the greatest common factor 36946 and 36954 is 2.

Also check out the Least Common Multiple of 36946 and 36954