What is the Greatest Common Factor of 80026 and 80032?

Greatest common factor (GCF) of 80026 and 80032 is 2.

GCF(80026,80032) = 2

We will now calculate the prime factors of 80026 and 80032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80026 and 80032.

How to find the GCF of 80026 and 80032?

We will first find the prime factorization of 80026 and 80032. After we will calculate the factors of 80026 and 80032 and find the biggest common factor number .

Step-1: Prime Factorization of 80026

Prime factors of 80026 are 2, 40013. Prime factorization of 80026 in exponential form is:

80026 = 2¹ × 40013¹

Step-2: Prime Factorization of 80032

Prime factors of 80032 are 2, 41, 61. Prime factorization of 80032 in exponential form is:

80032 = 2⁵ × 41¹ × 61¹

Step-3: Factors of 80026

List of positive integer factors of 80026 that divides 80026 without a remainder.

1, 2, 40013

Step-4: Factors of 80032

List of positive integer factors of 80032 that divides 80026 without a remainder.

1, 2, 4, 8, 16, 32, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 1312, 1952, 2501, 5002, 10004, 20008, 40016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80026 and 80032. The biggest common factor number is the GCF number.
So the greatest common factor 80026 and 80032 is 2.

Also check out the Least Common Multiple of 80026 and 80032