What is the Greatest Common Factor of 82635 and 82642?

Greatest common factor (GCF) of 82635 and 82642 is 7.

GCF(82635,82642) = 7

We will now calculate the prime factors of 82635 and 82642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82635 and 82642.

How to find the GCF of 82635 and 82642?

We will first find the prime factorization of 82635 and 82642. After we will calculate the factors of 82635 and 82642 and find the biggest common factor number .

Step-1: Prime Factorization of 82635

Prime factors of 82635 are 3, 5, 7, 787. Prime factorization of 82635 in exponential form is:

82635 = 3¹ × 5¹ × 7¹ × 787¹

Step-2: 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-3: Factors of 82635

List of positive integer factors of 82635 that divides 82635 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 787, 2361, 3935, 5509, 11805, 16527, 27545

Step-4: Factors of 82642

List of positive integer factors of 82642 that divides 82635 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82635 and 82642. The biggest common factor number is the GCF number.
So the greatest common factor 82635 and 82642 is 7.

Also check out the Least Common Multiple of 82635 and 82642