What is the Greatest Common Factor of 65658 and 65672?

Greatest common factor (GCF) of 65658 and 65672 is 2.

GCF(65658,65672) = 2

We will now calculate the prime factors of 65658 and 65672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65658 and 65672.

How to find the GCF of 65658 and 65672?

We will first find the prime factorization of 65658 and 65672. After we will calculate the factors of 65658 and 65672 and find the biggest common factor number .

Step-1: Prime Factorization of 65658

Prime factors of 65658 are 2, 3, 31, 353. Prime factorization of 65658 in exponential form is:

65658 = 2¹ × 3¹ × 31¹ × 353¹

Step-2: Prime Factorization of 65672

Prime factors of 65672 are 2, 8209. Prime factorization of 65672 in exponential form is:

65672 = 2³ × 8209¹

Step-3: Factors of 65658

List of positive integer factors of 65658 that divides 65658 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 353, 706, 1059, 2118, 10943, 21886, 32829

Step-4: Factors of 65672

List of positive integer factors of 65672 that divides 65658 without a remainder.

1, 2, 4, 8, 8209, 16418, 32836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65658 and 65672. The biggest common factor number is the GCF number.
So the greatest common factor 65658 and 65672 is 2.

Also check out the Least Common Multiple of 65658 and 65672