What is the Greatest Common Factor of 82642 and 82652?

Greatest common factor (GCF) of 82642 and 82652 is 2.

GCF(82642,82652) = 2

We will now calculate the prime factors of 82642 and 82652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82642 and 82652.

How to find the GCF of 82642 and 82652?

We will first find the prime factorization of 82642 and 82652. After we will calculate the factors of 82642 and 82652 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 82652

Prime factors of 82652 are 2, 20663. Prime factorization of 82652 in exponential form is:

82652 = 2² × 20663¹

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 82652

List of positive integer factors of 82652 that divides 82642 without a remainder.

1, 2, 4, 20663, 41326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82642 and 82652. The biggest common factor number is the GCF number.
So the greatest common factor 82642 and 82652 is 2.

Also check out the Least Common Multiple of 82642 and 82652