What is the Greatest Common Factor of 78013 and 78030?

Greatest common factor (GCF) of 78013 and 78030 is 17.

GCF(78013,78030) = 17

We will now calculate the prime factors of 78013 and 78030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78013 and 78030.

How to find the GCF of 78013 and 78030?

We will first find the prime factorization of 78013 and 78030. After we will calculate the factors of 78013 and 78030 and find the biggest common factor number .

Step-1: Prime Factorization of 78013

Prime factors of 78013 are 13, 17, 353. Prime factorization of 78013 in exponential form is:

78013 = 13¹ × 17¹ × 353¹

Step-2: 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-3: Factors of 78013

List of positive integer factors of 78013 that divides 78013 without a remainder.

1, 13, 17, 221, 353, 4589, 6001

Step-4: Factors of 78030

List of positive integer factors of 78030 that divides 78013 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78013 and 78030. The biggest common factor number is the GCF number.
So the greatest common factor 78013 and 78030 is 17.

Also check out the Least Common Multiple of 78013 and 78030