What is the Greatest Common Factor of 80024 and 80030?

Greatest common factor (GCF) of 80024 and 80030 is 2.

GCF(80024,80030) = 2

We will now calculate the prime factors of 80024 and 80030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80024 and 80030.

How to find the GCF of 80024 and 80030?

We will first find the prime factorization of 80024 and 80030. After we will calculate the factors of 80024 and 80030 and find the biggest common factor number .

Step-1: Prime Factorization of 80024

Prime factors of 80024 are 2, 7, 1429. Prime factorization of 80024 in exponential form is:

80024 = 2³ × 7¹ × 1429¹

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 80024

List of positive integer factors of 80024 that divides 80024 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1429, 2858, 5716, 10003, 11432, 20006, 40012

Step-4: Factors of 80030

List of positive integer factors of 80030 that divides 80024 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 80024 and 80030. The biggest common factor number is the GCF number.
So the greatest common factor 80024 and 80030 is 2.

Also check out the Least Common Multiple of 80024 and 80030