What is the Greatest Common Factor of 65278 and 65292?

Greatest common factor (GCF) of 65278 and 65292 is 2.

GCF(65278,65292) = 2

We will now calculate the prime factors of 65278 and 65292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65278 and 65292.

How to find the GCF of 65278 and 65292?

We will first find the prime factorization of 65278 and 65292. After we will calculate the factors of 65278 and 65292 and find the biggest common factor number .

Step-1: Prime Factorization of 65278

Prime factors of 65278 are 2, 127, 257. Prime factorization of 65278 in exponential form is:

65278 = 2¹ × 127¹ × 257¹

Step-2: Prime Factorization of 65292

Prime factors of 65292 are 2, 3, 5441. Prime factorization of 65292 in exponential form is:

65292 = 2² × 3¹ × 5441¹

Step-3: Factors of 65278

List of positive integer factors of 65278 that divides 65278 without a remainder.

1, 2, 127, 254, 257, 514, 32639

Step-4: Factors of 65292

List of positive integer factors of 65292 that divides 65278 without a remainder.

1, 2, 3, 4, 6, 12, 5441, 10882, 16323, 21764, 32646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65278 and 65292. The biggest common factor number is the GCF number.
So the greatest common factor 65278 and 65292 is 2.

Also check out the Least Common Multiple of 65278 and 65292