What is the Greatest Common Factor of 65414 and 65428?

Greatest common factor (GCF) of 65414 and 65428 is 2.

GCF(65414,65428) = 2

We will now calculate the prime factors of 65414 and 65428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65414 and 65428.

How to find the GCF of 65414 and 65428?

We will first find the prime factorization of 65414 and 65428. After we will calculate the factors of 65414 and 65428 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 65428

Prime factors of 65428 are 2, 11, 1487. Prime factorization of 65428 in exponential form is:

65428 = 2² × 11¹ × 1487¹

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 65428

List of positive integer factors of 65428 that divides 65414 without a remainder.

1, 2, 4, 11, 22, 44, 1487, 2974, 5948, 16357, 32714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65414 and 65428. The biggest common factor number is the GCF number.
So the greatest common factor 65414 and 65428 is 2.

Also check out the Least Common Multiple of 65414 and 65428