What is the Greatest Common Factor of 80024 and 80031?

Greatest common factor (GCF) of 80024 and 80031 is 7.

GCF(80024,80031) = 7

We will now calculate the prime factors of 80024 and 80031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80024 and 80031.

How to find the GCF of 80024 and 80031?

We will first find the prime factorization of 80024 and 80031. After we will calculate the factors of 80024 and 80031 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 80031

Prime factors of 80031 are 3, 7, 37, 103. Prime factorization of 80031 in exponential form is:

80031 = 3¹ × 7¹ × 37¹ × 103¹

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 80031

List of positive integer factors of 80031 that divides 80024 without a remainder.

1, 3, 7, 21, 37, 103, 111, 259, 309, 721, 777, 2163, 3811, 11433, 26677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80024 and 80031. The biggest common factor number is the GCF number.
So the greatest common factor 80024 and 80031 is 7.

Also check out the Least Common Multiple of 80024 and 80031