What is the Greatest Common Factor of 78140 and 78150?

Greatest common factor (GCF) of 78140 and 78150 is 10.

GCF(78140,78150) = 10

We will now calculate the prime factors of 78140 and 78150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78140 and 78150.

How to find the GCF of 78140 and 78150?

We will first find the prime factorization of 78140 and 78150. After we will calculate the factors of 78140 and 78150 and find the biggest common factor number .

Step-1: Prime Factorization of 78140

Prime factors of 78140 are 2, 5, 3907. Prime factorization of 78140 in exponential form is:

78140 = 2² × 5¹ × 3907¹

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 78140

List of positive integer factors of 78140 that divides 78140 without a remainder.

1, 2, 4, 5, 10, 20, 3907, 7814, 15628, 19535, 39070

Step-4: Factors of 78150

List of positive integer factors of 78150 that divides 78140 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 78140 and 78150. The biggest common factor number is the GCF number.
So the greatest common factor 78140 and 78150 is 10.

Also check out the Least Common Multiple of 78140 and 78150