What is the Greatest Common Factor of 80024 and 80034?

Greatest common factor (GCF) of 80024 and 80034 is 2.

GCF(80024,80034) = 2

We will now calculate the prime factors of 80024 and 80034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80024 and 80034.

How to find the GCF of 80024 and 80034?

We will first find the prime factorization of 80024 and 80034. After we will calculate the factors of 80024 and 80034 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 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 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 80034

List of positive integer factors of 80034 that divides 80024 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80024 and 80034. The biggest common factor number is the GCF number.
So the greatest common factor 80024 and 80034 is 2.

Also check out the Least Common Multiple of 80024 and 80034