What is the Greatest Common Factor of 78030 and 78042?

Greatest common factor (GCF) of 78030 and 78042 is 6.

GCF(78030,78042) = 6

We will now calculate the prime factors of 78030 and 78042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78030 and 78042.

How to find the GCF of 78030 and 78042?

We will first find the prime factorization of 78030 and 78042. After we will calculate the factors of 78030 and 78042 and find the biggest common factor number .

Step-1: Prime Factorization of 78030

Prime factors of 78030 are 2, 3, 5, 17. Prime factorization of 78030 in exponential form is:

78030 = 2¹ × 3³ × 5¹ × 17²

Step-2: 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-3: Factors of 78030

List of positive integer factors of 78030 that divides 78030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 289, 306, 459, 510, 578, 765, 867, 918, 1445, 1530, 1734, 2295, 2601, 2890, 4335, 4590, 5202, 7803, 8670, 13005, 15606, 26010, 39015

Step-4: Factors of 78042

List of positive integer factors of 78042 that divides 78030 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78030 and 78042. The biggest common factor number is the GCF number.
So the greatest common factor 78030 and 78042 is 6.

Also check out the Least Common Multiple of 78030 and 78042