What is the Greatest Common Factor of 60946 and 60966?

Greatest common factor (GCF) of 60946 and 60966 is 2.

GCF(60946,60966) = 2

We will now calculate the prime factors of 60946 and 60966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60946 and 60966.

How to find the GCF of 60946 and 60966?

We will first find the prime factorization of 60946 and 60966. After we will calculate the factors of 60946 and 60966 and find the biggest common factor number .

Step-1: Prime Factorization of 60946

Prime factors of 60946 are 2, 31, 983. Prime factorization of 60946 in exponential form is:

60946 = 2¹ × 31¹ × 983¹

Step-2: Prime Factorization of 60966

Prime factors of 60966 are 2, 3, 1129. Prime factorization of 60966 in exponential form is:

60966 = 2¹ × 3³ × 1129¹

Step-3: Factors of 60946

List of positive integer factors of 60946 that divides 60946 without a remainder.

1, 2, 31, 62, 983, 1966, 30473

Step-4: Factors of 60966

List of positive integer factors of 60966 that divides 60946 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1129, 2258, 3387, 6774, 10161, 20322, 30483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60946 and 60966. The biggest common factor number is the GCF number.
So the greatest common factor 60946 and 60966 is 2.

Also check out the Least Common Multiple of 60946 and 60966