What is the Greatest Common Factor of 82624 and 82643?

Greatest common factor (GCF) of 82624 and 82643 is 1.

GCF(82624,82643) = 1

We will now calculate the prime factors of 82624 and 82643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82624 and 82643.

How to find the GCF of 82624 and 82643?

We will first find the prime factorization of 82624 and 82643. After we will calculate the factors of 82624 and 82643 and find the biggest common factor number .

Step-1: Prime Factorization of 82624

Prime factors of 82624 are 2, 1291. Prime factorization of 82624 in exponential form is:

82624 = 2⁶ × 1291¹

Step-2: Prime Factorization of 82643

Prime factors of 82643 are 11, 683. Prime factorization of 82643 in exponential form is:

82643 = 11² × 683¹

Step-3: Factors of 82624

List of positive integer factors of 82624 that divides 82624 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1291, 2582, 5164, 10328, 20656, 41312

Step-4: Factors of 82643

List of positive integer factors of 82643 that divides 82624 without a remainder.

1, 11, 121, 683, 7513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82624 and 82643. The biggest common factor number is the GCF number.
So the greatest common factor 82624 and 82643 is 1.

Also check out the Least Common Multiple of 82624 and 82643