What is the Greatest Common Factor of 65460 and 65470?

Greatest common factor (GCF) of 65460 and 65470 is 10.

GCF(65460,65470) = 10

We will now calculate the prime factors of 65460 and 65470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65460 and 65470.

How to find the GCF of 65460 and 65470?

We will first find the prime factorization of 65460 and 65470. After we will calculate the factors of 65460 and 65470 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 65470

Prime factors of 65470 are 2, 5, 6547. Prime factorization of 65470 in exponential form is:

65470 = 2¹ × 5¹ × 6547¹

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 65470

List of positive integer factors of 65470 that divides 65460 without a remainder.

1, 2, 5, 10, 6547, 13094, 32735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65460 and 65470. The biggest common factor number is the GCF number.
So the greatest common factor 65460 and 65470 is 10.

Also check out the Least Common Multiple of 65460 and 65470