What is the Greatest Common Factor of 65625 and 65633?

Greatest common factor (GCF) of 65625 and 65633 is 1.

GCF(65625,65633) = 1

We will now calculate the prime factors of 65625 and 65633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65625 and 65633.

How to find the GCF of 65625 and 65633?

We will first find the prime factorization of 65625 and 65633. After we will calculate the factors of 65625 and 65633 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65633

Prime factors of 65633 are 65633. Prime factorization of 65633 in exponential form is:

65633 = 65633¹

Step-3: Factors of 65625

List of positive integer factors of 65625 that divides 65625 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

Step-4: Factors of 65633

List of positive integer factors of 65633 that divides 65625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65625 and 65633. The biggest common factor number is the GCF number.
So the greatest common factor 65625 and 65633 is 1.

Also check out the Least Common Multiple of 65625 and 65633