What is the Greatest Common Factor of 65909 and 65926?

Greatest common factor (GCF) of 65909 and 65926 is 17.

GCF(65909,65926) = 17

We will now calculate the prime factors of 65909 and 65926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65909 and 65926.

How to find the GCF of 65909 and 65926?

We will first find the prime factorization of 65909 and 65926. After we will calculate the factors of 65909 and 65926 and find the biggest common factor number .

Step-1: Prime Factorization of 65909

Prime factors of 65909 are 17, 3877. Prime factorization of 65909 in exponential form is:

65909 = 17¹ × 3877¹

Step-2: Prime Factorization of 65926

Prime factors of 65926 are 2, 7, 17, 277. Prime factorization of 65926 in exponential form is:

65926 = 2¹ × 7¹ × 17¹ × 277¹

Step-3: Factors of 65909

List of positive integer factors of 65909 that divides 65909 without a remainder.

1, 17, 3877

Step-4: Factors of 65926

List of positive integer factors of 65926 that divides 65909 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 277, 554, 1939, 3878, 4709, 9418, 32963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65909 and 65926. The biggest common factor number is the GCF number.
So the greatest common factor 65909 and 65926 is 17.

Also check out the Least Common Multiple of 65909 and 65926