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What is the Greatest Common Factor of 32642 and 32658?

Greatest common factor (GCF) of 32642 and 32658 is 2.

GCF(32642,32658) = 2

We will now calculate the prime factors of 32642 and 32658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32642 and 32658.

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How to find the GCF of 32642 and 32658?

We will first find the prime factorization of 32642 and 32658. After we will calculate the factors of 32642 and 32658 and find the biggest common factor number .

Step-1: Prime Factorization of 32642

Prime factors of 32642 are 2, 19, 859. Prime factorization of 32642 in exponential form is:

32642 = 21 × 191 × 8591

Step-2: Prime Factorization of 32658

Prime factors of 32658 are 2, 3, 5443. Prime factorization of 32658 in exponential form is:

32658 = 21 × 31 × 54431

Step-3: Factors of 32642

List of positive integer factors of 32642 that divides 32642 without a remainder.

1, 2, 19, 38, 859, 1718, 16321

Step-4: Factors of 32658

List of positive integer factors of 32658 that divides 32642 without a remainder.

1, 2, 3, 6, 5443, 10886, 16329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32642 and 32658. The biggest common factor number is the GCF number.
So the greatest common factor 32642 and 32658 is 2.

Also check out the Least Common Multiple of 32642 and 32658