What is the Greatest Common Factor of 65436 and 65451?

Greatest common factor (GCF) of 65436 and 65451 is 3.

GCF(65436,65451) = 3

We will now calculate the prime factors of 65436 and 65451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65436 and 65451.

How to find the GCF of 65436 and 65451?

We will first find the prime factorization of 65436 and 65451. After we will calculate the factors of 65436 and 65451 and find the biggest common factor number .

Step-1: Prime Factorization of 65436

Prime factors of 65436 are 2, 3, 7, 19, 41. Prime factorization of 65436 in exponential form is:

65436 = 2² × 3¹ × 7¹ × 19¹ × 41¹

Step-2: Prime Factorization of 65451

Prime factors of 65451 are 3, 21817. Prime factorization of 65451 in exponential form is:

65451 = 3¹ × 21817¹

Step-3: Factors of 65436

List of positive integer factors of 65436 that divides 65436 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 41, 42, 57, 76, 82, 84, 114, 123, 133, 164, 228, 246, 266, 287, 399, 492, 532, 574, 779, 798, 861, 1148, 1558, 1596, 1722, 2337, 3116, 3444, 4674, 5453, 9348, 10906, 16359, 21812, 32718

Step-4: Factors of 65451

List of positive integer factors of 65451 that divides 65436 without a remainder.

1, 3, 21817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65436 and 65451. The biggest common factor number is the GCF number.
So the greatest common factor 65436 and 65451 is 3.

Also check out the Least Common Multiple of 65436 and 65451