What is the Greatest Common Factor of 80038 and 80048?

Greatest common factor (GCF) of 80038 and 80048 is 2.

GCF(80038,80048) = 2

We will now calculate the prime factors of 80038 and 80048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80038 and 80048.

How to find the GCF of 80038 and 80048?

We will first find the prime factorization of 80038 and 80048. After we will calculate the factors of 80038 and 80048 and find the biggest common factor number .

Step-1: Prime Factorization of 80038

Prime factors of 80038 are 2, 7, 5717. Prime factorization of 80038 in exponential form is:

80038 = 2¹ × 7¹ × 5717¹

Step-2: Prime Factorization of 80048

Prime factors of 80048 are 2, 5003. Prime factorization of 80048 in exponential form is:

80048 = 2⁴ × 5003¹

Step-3: Factors of 80038

List of positive integer factors of 80038 that divides 80038 without a remainder.

1, 2, 7, 14, 5717, 11434, 40019

Step-4: Factors of 80048

List of positive integer factors of 80048 that divides 80038 without a remainder.

1, 2, 4, 8, 16, 5003, 10006, 20012, 40024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80038 and 80048. The biggest common factor number is the GCF number.
So the greatest common factor 80038 and 80048 is 2.

Also check out the Least Common Multiple of 80038 and 80048