What is the Greatest Common Factor of 65942 and 65946?

Greatest common factor (GCF) of 65942 and 65946 is 2.

GCF(65942,65946) = 2

We will now calculate the prime factors of 65942 and 65946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65942 and 65946.

How to find the GCF of 65942 and 65946?

We will first find the prime factorization of 65942 and 65946. After we will calculate the factors of 65942 and 65946 and find the biggest common factor number .

Step-1: Prime Factorization of 65942

Prime factors of 65942 are 2, 32971. Prime factorization of 65942 in exponential form is:

65942 = 2¹ × 32971¹

Step-2: 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-3: Factors of 65942

List of positive integer factors of 65942 that divides 65942 without a remainder.

1, 2, 32971

Step-4: Factors of 65946

List of positive integer factors of 65946 that divides 65942 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65942 and 65946. The biggest common factor number is the GCF number.
So the greatest common factor 65942 and 65946 is 2.

Also check out the Least Common Multiple of 65942 and 65946