What is the Greatest Common Factor of 8614 and 8625?

Greatest common factor (GCF) of 8614 and 8625 is 1.

GCF(8614,8625) = 1

We will now calculate the prime factors of 8614 and 8625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8614 and 8625.

How to find the GCF of 8614 and 8625?

We will first find the prime factorization of 8614 and 8625. After we will calculate the factors of 8614 and 8625 and find the biggest common factor number .

Step-1: Prime Factorization of 8614

Prime factors of 8614 are 2, 59, 73. Prime factorization of 8614 in exponential form is:

8614 = 2¹ × 59¹ × 73¹

Step-2: Prime Factorization of 8625

Prime factors of 8625 are 3, 5, 23. Prime factorization of 8625 in exponential form is:

8625 = 3¹ × 5³ × 23¹

Step-3: Factors of 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1, 2, 59, 73, 118, 146, 4307

Step-4: Factors of 8625

List of positive integer factors of 8625 that divides 8614 without a remainder.

1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8614 and 8625. The biggest common factor number is the GCF number.
So the greatest common factor 8614 and 8625 is 1.

Also check out the Least Common Multiple of 8614 and 8625