What is the Greatest Common Factor of 78042 and 78050?

Greatest common factor (GCF) of 78042 and 78050 is 2.

GCF(78042,78050) = 2

We will now calculate the prime factors of 78042 and 78050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78042 and 78050.

How to find the GCF of 78042 and 78050?

We will first find the prime factorization of 78042 and 78050. After we will calculate the factors of 78042 and 78050 and find the biggest common factor number .

Step-1: Prime Factorization of 78042

Prime factors of 78042 are 2, 3, 13007. Prime factorization of 78042 in exponential form is:

78042 = 2¹ × 3¹ × 13007¹

Step-2: 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-3: Factors of 78042

List of positive integer factors of 78042 that divides 78042 without a remainder.

1, 2, 3, 6, 13007, 26014, 39021

Step-4: Factors of 78050

List of positive integer factors of 78050 that divides 78042 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78042 and 78050. The biggest common factor number is the GCF number.
So the greatest common factor 78042 and 78050 is 2.

Also check out the Least Common Multiple of 78042 and 78050