What is the Greatest Common Factor of 69614 and 69625?

Greatest common factor (GCF) of 69614 and 69625 is 1.

GCF(69614,69625) = 1

We will now calculate the prime factors of 69614 and 69625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69614 and 69625.

How to find the GCF of 69614 and 69625?

We will first find the prime factorization of 69614 and 69625. After we will calculate the factors of 69614 and 69625 and find the biggest common factor number .

Step-1: Prime Factorization of 69614

Prime factors of 69614 are 2, 34807. Prime factorization of 69614 in exponential form is:

69614 = 2¹ × 34807¹

Step-2: Prime Factorization of 69625

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

69625 = 5³ × 557¹

Step-3: Factors of 69614

List of positive integer factors of 69614 that divides 69614 without a remainder.

1, 2, 34807

Step-4: Factors of 69625

List of positive integer factors of 69625 that divides 69614 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69614 and 69625. The biggest common factor number is the GCF number.
So the greatest common factor 69614 and 69625 is 1.

Also check out the Least Common Multiple of 69614 and 69625