What is the Greatest Common Factor of 65414 and 65422?

Greatest common factor (GCF) of 65414 and 65422 is 2.

GCF(65414,65422) = 2

We will now calculate the prime factors of 65414 and 65422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65414 and 65422.

How to find the GCF of 65414 and 65422?

We will first find the prime factorization of 65414 and 65422. After we will calculate the factors of 65414 and 65422 and find the biggest common factor number .

Step-1: Prime Factorization of 65414

Prime factors of 65414 are 2, 32707. Prime factorization of 65414 in exponential form is:

65414 = 2¹ × 32707¹

Step-2: Prime Factorization of 65422

Prime factors of 65422 are 2, 7, 4673. Prime factorization of 65422 in exponential form is:

65422 = 2¹ × 7¹ × 4673¹

Step-3: Factors of 65414

List of positive integer factors of 65414 that divides 65414 without a remainder.

1, 2, 32707

Step-4: Factors of 65422

List of positive integer factors of 65422 that divides 65414 without a remainder.

1, 2, 7, 14, 4673, 9346, 32711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65414 and 65422. The biggest common factor number is the GCF number.
So the greatest common factor 65414 and 65422 is 2.

Also check out the Least Common Multiple of 65414 and 65422