What is the Greatest Common Factor of 80016 and 80024?

Greatest common factor (GCF) of 80016 and 80024 is 8.

GCF(80016,80024) = 8

We will now calculate the prime factors of 80016 and 80024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80016 and 80024.

How to find the GCF of 80016 and 80024?

We will first find the prime factorization of 80016 and 80024. After we will calculate the factors of 80016 and 80024 and find the biggest common factor number .

Step-1: Prime Factorization of 80016

Prime factors of 80016 are 2, 3, 1667. Prime factorization of 80016 in exponential form is:

80016 = 2⁴ × 3¹ × 1667¹

Step-2: 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-3: Factors of 80016

List of positive integer factors of 80016 that divides 80016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1667, 3334, 5001, 6668, 10002, 13336, 20004, 26672, 40008

Step-4: Factors of 80024

List of positive integer factors of 80024 that divides 80016 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80016 and 80024. The biggest common factor number is the GCF number.
So the greatest common factor 80016 and 80024 is 8.

Also check out the Least Common Multiple of 80016 and 80024