What is the Greatest Common Factor of 82614 and 82625?

Greatest common factor (GCF) of 82614 and 82625 is 1.

GCF(82614,82625) = 1

We will now calculate the prime factors of 82614 and 82625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82614 and 82625.

How to find the GCF of 82614 and 82625?

We will first find the prime factorization of 82614 and 82625. After we will calculate the factors of 82614 and 82625 and find the biggest common factor number .

Step-1: Prime Factorization of 82614

Prime factors of 82614 are 2, 3, 7, 281. Prime factorization of 82614 in exponential form is:

82614 = 2¹ × 3¹ × 7² × 281¹

Step-2: Prime Factorization of 82625

Prime factors of 82625 are 5, 661. Prime factorization of 82625 in exponential form is:

82625 = 5³ × 661¹

Step-3: Factors of 82614

List of positive integer factors of 82614 that divides 82614 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 281, 294, 562, 843, 1686, 1967, 3934, 5901, 11802, 13769, 27538, 41307

Step-4: Factors of 82625

List of positive integer factors of 82625 that divides 82614 without a remainder.

1, 5, 25, 125, 661, 3305, 16525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82614 and 82625. The biggest common factor number is the GCF number.
So the greatest common factor 82614 and 82625 is 1.

Also check out the Least Common Multiple of 82614 and 82625