What is the Greatest Common Factor of 65946 and 65952?

Greatest common factor (GCF) of 65946 and 65952 is 6.

GCF(65946,65952) = 6

We will now calculate the prime factors of 65946 and 65952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65946 and 65952.

How to find the GCF of 65946 and 65952?

We will first find the prime factorization of 65946 and 65952. After we will calculate the factors of 65946 and 65952 and find the biggest common factor number .

Step-1: Prime Factorization of 65946

Prime factors of 65946 are 2, 3, 29, 379. Prime factorization of 65946 in exponential form is:

65946 = 2¹ × 3¹ × 29¹ × 379¹

Step-2: Prime Factorization of 65952

Prime factors of 65952 are 2, 3, 229. Prime factorization of 65952 in exponential form is:

65952 = 2⁵ × 3² × 229¹

Step-3: Factors of 65946

List of positive integer factors of 65946 that divides 65946 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 379, 758, 1137, 2274, 10991, 21982, 32973

Step-4: Factors of 65952

List of positive integer factors of 65952 that divides 65946 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 229, 288, 458, 687, 916, 1374, 1832, 2061, 2748, 3664, 4122, 5496, 7328, 8244, 10992, 16488, 21984, 32976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65946 and 65952. The biggest common factor number is the GCF number.
So the greatest common factor 65946 and 65952 is 6.

Also check out the Least Common Multiple of 65946 and 65952