What is the Greatest Common Factor of 82642 and 82649?

Greatest common factor (GCF) of 82642 and 82649 is 7.

GCF(82642,82649) = 7

We will now calculate the prime factors of 82642 and 82649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82642 and 82649.

How to find the GCF of 82642 and 82649?

We will first find the prime factorization of 82642 and 82649. After we will calculate the factors of 82642 and 82649 and find the biggest common factor number .

Step-1: Prime Factorization of 82642

Prime factors of 82642 are 2, 7, 5903. Prime factorization of 82642 in exponential form is:

82642 = 2¹ × 7¹ × 5903¹

Step-2: Prime Factorization of 82649

Prime factors of 82649 are 7, 11807. Prime factorization of 82649 in exponential form is:

82649 = 7¹ × 11807¹

Step-3: Factors of 82642

List of positive integer factors of 82642 that divides 82642 without a remainder.

1, 2, 7, 14, 5903, 11806, 41321

Step-4: Factors of 82649

List of positive integer factors of 82649 that divides 82642 without a remainder.

1, 7, 11807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82642 and 82649. The biggest common factor number is the GCF number.
So the greatest common factor 82642 and 82649 is 7.

Also check out the Least Common Multiple of 82642 and 82649