What is the Greatest Common Factor of 65460 and 65469?

Greatest common factor (GCF) of 65460 and 65469 is 3.

GCF(65460,65469) = 3

We will now calculate the prime factors of 65460 and 65469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65460 and 65469.

How to find the GCF of 65460 and 65469?

We will first find the prime factorization of 65460 and 65469. After we will calculate the factors of 65460 and 65469 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 65469

Prime factors of 65469 are 3, 139, 157. Prime factorization of 65469 in exponential form is:

65469 = 3¹ × 139¹ × 157¹

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 65469

List of positive integer factors of 65469 that divides 65460 without a remainder.

1, 3, 139, 157, 417, 471, 21823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65460 and 65469. The biggest common factor number is the GCF number.
So the greatest common factor 65460 and 65469 is 3.

Also check out the Least Common Multiple of 65460 and 65469