What is the Greatest Common Factor of 78142 and 78150?

Greatest common factor (GCF) of 78142 and 78150 is 2.

GCF(78142,78150) = 2

We will now calculate the prime factors of 78142 and 78150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78142 and 78150.

How to find the GCF of 78142 and 78150?

We will first find the prime factorization of 78142 and 78150. After we will calculate the factors of 78142 and 78150 and find the biggest common factor number .

Step-1: Prime Factorization of 78142

Prime factors of 78142 are 2, 89, 439. Prime factorization of 78142 in exponential form is:

78142 = 2¹ × 89¹ × 439¹

Step-2: Prime Factorization of 78150

Prime factors of 78150 are 2, 3, 5, 521. Prime factorization of 78150 in exponential form is:

78150 = 2¹ × 3¹ × 5² × 521¹

Step-3: Factors of 78142

List of positive integer factors of 78142 that divides 78142 without a remainder.

1, 2, 89, 178, 439, 878, 39071

Step-4: Factors of 78150

List of positive integer factors of 78150 that divides 78142 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 521, 1042, 1563, 2605, 3126, 5210, 7815, 13025, 15630, 26050, 39075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78142 and 78150. The biggest common factor number is the GCF number.
So the greatest common factor 78142 and 78150 is 2.

Also check out the Least Common Multiple of 78142 and 78150