What is the Greatest Common Factor of 65654 and 65671?

Greatest common factor (GCF) of 65654 and 65671 is 17.

GCF(65654,65671) = 17

We will now calculate the prime factors of 65654 and 65671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65654 and 65671.

How to find the GCF of 65654 and 65671?

We will first find the prime factorization of 65654 and 65671. After we will calculate the factors of 65654 and 65671 and find the biggest common factor number .

Step-1: Prime Factorization of 65654

Prime factors of 65654 are 2, 17, 1931. Prime factorization of 65654 in exponential form is:

65654 = 2¹ × 17¹ × 1931¹

Step-2: Prime Factorization of 65671

Prime factors of 65671 are 17, 3863. Prime factorization of 65671 in exponential form is:

65671 = 17¹ × 3863¹

Step-3: Factors of 65654

List of positive integer factors of 65654 that divides 65654 without a remainder.

1, 2, 17, 34, 1931, 3862, 32827

Step-4: Factors of 65671

List of positive integer factors of 65671 that divides 65654 without a remainder.

1, 17, 3863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65654 and 65671. The biggest common factor number is the GCF number.
So the greatest common factor 65654 and 65671 is 17.

Also check out the Least Common Multiple of 65654 and 65671