What is the Greatest Common Factor of 81628 and 81642?

Greatest common factor (GCF) of 81628 and 81642 is 2.

GCF(81628,81642) = 2

We will now calculate the prime factors of 81628 and 81642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81628 and 81642.

How to find the GCF of 81628 and 81642?

We will first find the prime factorization of 81628 and 81642. After we will calculate the factors of 81628 and 81642 and find the biggest common factor number .

Step-1: Prime Factorization of 81628

Prime factors of 81628 are 2, 20407. Prime factorization of 81628 in exponential form is:

81628 = 2² × 20407¹

Step-2: Prime Factorization of 81642

Prime factors of 81642 are 2, 3, 11, 1237. Prime factorization of 81642 in exponential form is:

81642 = 2¹ × 3¹ × 11¹ × 1237¹

Step-3: Factors of 81628

List of positive integer factors of 81628 that divides 81628 without a remainder.

1, 2, 4, 20407, 40814

Step-4: Factors of 81642

List of positive integer factors of 81642 that divides 81628 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1237, 2474, 3711, 7422, 13607, 27214, 40821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81628 and 81642. The biggest common factor number is the GCF number.
So the greatest common factor 81628 and 81642 is 2.

Also check out the Least Common Multiple of 81628 and 81642