What is the Greatest Common Factor of 69625 and 69633?

Greatest common factor (GCF) of 69625 and 69633 is 1.

GCF(69625,69633) = 1

We will now calculate the prime factors of 69625 and 69633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69625 and 69633.

How to find the GCF of 69625 and 69633?

We will first find the prime factorization of 69625 and 69633. After we will calculate the factors of 69625 and 69633 and find the biggest common factor number .

Step-1: Prime Factorization of 69625

Prime factors of 69625 are 5, 557. Prime factorization of 69625 in exponential form is:

69625 = 5³ × 557¹

Step-2: Prime Factorization of 69633

Prime factors of 69633 are 3, 2579. Prime factorization of 69633 in exponential form is:

69633 = 3³ × 2579¹

Step-3: Factors of 69625

List of positive integer factors of 69625 that divides 69625 without a remainder.

1, 5, 25, 125, 557, 2785, 13925

Step-4: Factors of 69633

List of positive integer factors of 69633 that divides 69625 without a remainder.

1, 3, 9, 27, 2579, 7737, 23211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69625 and 69633. The biggest common factor number is the GCF number.
So the greatest common factor 69625 and 69633 is 1.

Also check out the Least Common Multiple of 69625 and 69633