What is the Greatest Common Factor of 80026 and 80030?

Greatest common factor (GCF) of 80026 and 80030 is 2.

GCF(80026,80030) = 2

We will now calculate the prime factors of 80026 and 80030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80026 and 80030.

How to find the GCF of 80026 and 80030?

We will first find the prime factorization of 80026 and 80030. After we will calculate the factors of 80026 and 80030 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 80030

Prime factors of 80030 are 2, 5, 53, 151. Prime factorization of 80030 in exponential form is:

80030 = 2¹ × 5¹ × 53¹ × 151¹

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 80030

List of positive integer factors of 80030 that divides 80026 without a remainder.

1, 2, 5, 10, 53, 106, 151, 265, 302, 530, 755, 1510, 8003, 16006, 40015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80026 and 80030. The biggest common factor number is the GCF number.
So the greatest common factor 80026 and 80030 is 2.

Also check out the Least Common Multiple of 80026 and 80030