What is the Greatest Common Factor of 65605 and 65625?

Greatest common factor (GCF) of 65605 and 65625 is 5.

GCF(65605,65625) = 5

We will now calculate the prime factors of 65605 and 65625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65605 and 65625.

How to find the GCF of 65605 and 65625?

We will first find the prime factorization of 65605 and 65625. After we will calculate the factors of 65605 and 65625 and find the biggest common factor number .

Step-1: Prime Factorization of 65605

Prime factors of 65605 are 5, 13121. Prime factorization of 65605 in exponential form is:

65605 = 5¹ × 13121¹

Step-2: Prime Factorization of 65625

Prime factors of 65625 are 3, 5, 7. Prime factorization of 65625 in exponential form is:

65625 = 3¹ × 5⁵ × 7¹

Step-3: Factors of 65605

List of positive integer factors of 65605 that divides 65605 without a remainder.

1, 5, 13121

Step-4: Factors of 65625

List of positive integer factors of 65625 that divides 65605 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 625, 875, 1875, 2625, 3125, 4375, 9375, 13125, 21875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65605 and 65625. The biggest common factor number is the GCF number.
So the greatest common factor 65605 and 65625 is 5.

Also check out the Least Common Multiple of 65605 and 65625