What is the Greatest Common Factor of 82614 and 82623?

Greatest common factor (GCF) of 82614 and 82623 is 3.

GCF(82614,82623) = 3

We will now calculate the prime factors of 82614 and 82623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82614 and 82623.

How to find the GCF of 82614 and 82623?

We will first find the prime factorization of 82614 and 82623. After we will calculate the factors of 82614 and 82623 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 82623

Prime factors of 82623 are 3, 27541. Prime factorization of 82623 in exponential form is:

82623 = 3¹ × 27541¹

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 82623

List of positive integer factors of 82623 that divides 82614 without a remainder.

1, 3, 27541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82614 and 82623. The biggest common factor number is the GCF number.
So the greatest common factor 82614 and 82623 is 3.

Also check out the Least Common Multiple of 82614 and 82623