What is the Greatest Common Factor of 81638 and 81652?

Greatest common factor (GCF) of 81638 and 81652 is 2.

GCF(81638,81652) = 2

We will now calculate the prime factors of 81638 and 81652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81638 and 81652.

How to find the GCF of 81638 and 81652?

We will first find the prime factorization of 81638 and 81652. After we will calculate the factors of 81638 and 81652 and find the biggest common factor number .

Step-1: Prime Factorization of 81638

Prime factors of 81638 are 2, 40819. Prime factorization of 81638 in exponential form is:

81638 = 2¹ × 40819¹

Step-2: Prime Factorization of 81652

Prime factors of 81652 are 2, 137, 149. Prime factorization of 81652 in exponential form is:

81652 = 2² × 137¹ × 149¹

Step-3: Factors of 81638

List of positive integer factors of 81638 that divides 81638 without a remainder.

1, 2, 40819

Step-4: Factors of 81652

List of positive integer factors of 81652 that divides 81638 without a remainder.

1, 2, 4, 137, 149, 274, 298, 548, 596, 20413, 40826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81638 and 81652. The biggest common factor number is the GCF number.
So the greatest common factor 81638 and 81652 is 2.

Also check out the Least Common Multiple of 81638 and 81652