What is the Greatest Common Factor of 65308 and 65318?

Greatest common factor (GCF) of 65308 and 65318 is 2.

GCF(65308,65318) = 2

We will now calculate the prime factors of 65308 and 65318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65308 and 65318.

How to find the GCF of 65308 and 65318?

We will first find the prime factorization of 65308 and 65318. After we will calculate the factors of 65308 and 65318 and find the biggest common factor number .

Step-1: Prime Factorization of 65308

Prime factors of 65308 are 2, 29, 563. Prime factorization of 65308 in exponential form is:

65308 = 2² × 29¹ × 563¹

Step-2: Prime Factorization of 65318

Prime factors of 65318 are 2, 11, 2969. Prime factorization of 65318 in exponential form is:

65318 = 2¹ × 11¹ × 2969¹

Step-3: Factors of 65308

List of positive integer factors of 65308 that divides 65308 without a remainder.

1, 2, 4, 29, 58, 116, 563, 1126, 2252, 16327, 32654

Step-4: Factors of 65318

List of positive integer factors of 65318 that divides 65308 without a remainder.

1, 2, 11, 22, 2969, 5938, 32659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65308 and 65318. The biggest common factor number is the GCF number.
So the greatest common factor 65308 and 65318 is 2.

Also check out the Least Common Multiple of 65308 and 65318