What is the Greatest Common Factor of 69625 and 69634?

Greatest common factor (GCF) of 69625 and 69634 is 1.

GCF(69625,69634) = 1

We will now calculate the prime factors of 69625 and 69634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69625 and 69634.

How to find the GCF of 69625 and 69634?

We will first find the prime factorization of 69625 and 69634. After we will calculate the factors of 69625 and 69634 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 69634

Prime factors of 69634 are 2, 37, 941. Prime factorization of 69634 in exponential form is:

69634 = 2¹ × 37¹ × 941¹

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 69634

List of positive integer factors of 69634 that divides 69625 without a remainder.

1, 2, 37, 74, 941, 1882, 34817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69625 and 69634. The biggest common factor number is the GCF number.
So the greatest common factor 69625 and 69634 is 1.

Also check out the Least Common Multiple of 69625 and 69634