What is the Greatest Common Factor of 78030 and 78038?

Greatest common factor (GCF) of 78030 and 78038 is 2.

GCF(78030,78038) = 2

We will now calculate the prime factors of 78030 and 78038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78030 and 78038.

How to find the GCF of 78030 and 78038?

We will first find the prime factorization of 78030 and 78038. After we will calculate the factors of 78030 and 78038 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 78038

Prime factors of 78038 are 2, 39019. Prime factorization of 78038 in exponential form is:

78038 = 2¹ × 39019¹

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 78038

List of positive integer factors of 78038 that divides 78030 without a remainder.

1, 2, 39019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78030 and 78038. The biggest common factor number is the GCF number.
So the greatest common factor 78030 and 78038 is 2.

Also check out the Least Common Multiple of 78030 and 78038