What is the Greatest Common Factor of 80026 and 80034?

Greatest common factor (GCF) of 80026 and 80034 is 2.

GCF(80026,80034) = 2

We will now calculate the prime factors of 80026 and 80034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80026 and 80034.

How to find the GCF of 80026 and 80034?

We will first find the prime factorization of 80026 and 80034. After we will calculate the factors of 80026 and 80034 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 80034

Prime factors of 80034 are 2, 3, 13339. Prime factorization of 80034 in exponential form is:

80034 = 2¹ × 3¹ × 13339¹

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 80034

List of positive integer factors of 80034 that divides 80026 without a remainder.

1, 2, 3, 6, 13339, 26678, 40017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80026 and 80034. The biggest common factor number is the GCF number.
So the greatest common factor 80026 and 80034 is 2.

Also check out the Least Common Multiple of 80026 and 80034