What is the Greatest Common Factor of 65460 and 65476?

Greatest common factor (GCF) of 65460 and 65476 is 4.

GCF(65460,65476) = 4

We will now calculate the prime factors of 65460 and 65476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65460 and 65476.

How to find the GCF of 65460 and 65476?

We will first find the prime factorization of 65460 and 65476. After we will calculate the factors of 65460 and 65476 and find the biggest common factor number .

Step-1: Prime Factorization of 65460

Prime factors of 65460 are 2, 3, 5, 1091. Prime factorization of 65460 in exponential form is:

65460 = 2² × 3¹ × 5¹ × 1091¹

Step-2: Prime Factorization of 65476

Prime factors of 65476 are 2, 16369. Prime factorization of 65476 in exponential form is:

65476 = 2² × 16369¹

Step-3: Factors of 65460

List of positive integer factors of 65460 that divides 65460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1091, 2182, 3273, 4364, 5455, 6546, 10910, 13092, 16365, 21820, 32730

Step-4: Factors of 65476

List of positive integer factors of 65476 that divides 65460 without a remainder.

1, 2, 4, 16369, 32738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65460 and 65476. The biggest common factor number is the GCF number.
So the greatest common factor 65460 and 65476 is 4.

Also check out the Least Common Multiple of 65460 and 65476