What is the Greatest Common Factor of 80634 and 80644?

Greatest common factor (GCF) of 80634 and 80644 is 2.

GCF(80634,80644) = 2

We will now calculate the prime factors of 80634 and 80644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80634 and 80644.

How to find the GCF of 80634 and 80644?

We will first find the prime factorization of 80634 and 80644. After we will calculate the factors of 80634 and 80644 and find the biggest common factor number .

Step-1: Prime Factorization of 80634

Prime factors of 80634 are 2, 3, 89, 151. Prime factorization of 80634 in exponential form is:

80634 = 2¹ × 3¹ × 89¹ × 151¹

Step-2: Prime Factorization of 80644

Prime factors of 80644 are 2, 20161. Prime factorization of 80644 in exponential form is:

80644 = 2² × 20161¹

Step-3: Factors of 80634

List of positive integer factors of 80634 that divides 80634 without a remainder.

1, 2, 3, 6, 89, 151, 178, 267, 302, 453, 534, 906, 13439, 26878, 40317

Step-4: Factors of 80644

List of positive integer factors of 80644 that divides 80634 without a remainder.

1, 2, 4, 20161, 40322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80634 and 80644. The biggest common factor number is the GCF number.
So the greatest common factor 80634 and 80644 is 2.

Also check out the Least Common Multiple of 80634 and 80644