What is the Greatest Common Factor of 78050 and 78067?

Greatest common factor (GCF) of 78050 and 78067 is 1.

GCF(78050,78067) = 1

We will now calculate the prime factors of 78050 and 78067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78050 and 78067.

How to find the GCF of 78050 and 78067?

We will first find the prime factorization of 78050 and 78067. After we will calculate the factors of 78050 and 78067 and find the biggest common factor number .

Step-1: Prime Factorization of 78050

Prime factors of 78050 are 2, 5, 7, 223. Prime factorization of 78050 in exponential form is:

78050 = 2¹ × 5² × 7¹ × 223¹

Step-2: Prime Factorization of 78067

Prime factors of 78067 are 11, 47, 151. Prime factorization of 78067 in exponential form is:

78067 = 11¹ × 47¹ × 151¹

Step-3: Factors of 78050

List of positive integer factors of 78050 that divides 78050 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 223, 350, 446, 1115, 1561, 2230, 3122, 5575, 7805, 11150, 15610, 39025

Step-4: Factors of 78067

List of positive integer factors of 78067 that divides 78050 without a remainder.

1, 11, 47, 151, 517, 1661, 7097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78050 and 78067. The biggest common factor number is the GCF number.
So the greatest common factor 78050 and 78067 is 1.

Also check out the Least Common Multiple of 78050 and 78067