What is the Greatest Common Factor of 78060 and 78069?

Greatest common factor (GCF) of 78060 and 78069 is 3.

GCF(78060,78069) = 3

We will now calculate the prime factors of 78060 and 78069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78060 and 78069.

How to find the GCF of 78060 and 78069?

We will first find the prime factorization of 78060 and 78069. After we will calculate the factors of 78060 and 78069 and find the biggest common factor number .

Step-1: Prime Factorization of 78060

Prime factors of 78060 are 2, 3, 5, 1301. Prime factorization of 78060 in exponential form is:

78060 = 2² × 3¹ × 5¹ × 1301¹

Step-2: Prime Factorization of 78069

Prime factors of 78069 are 3, 53, 491. Prime factorization of 78069 in exponential form is:

78069 = 3¹ × 53¹ × 491¹

Step-3: Factors of 78060

List of positive integer factors of 78060 that divides 78060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1301, 2602, 3903, 5204, 6505, 7806, 13010, 15612, 19515, 26020, 39030

Step-4: Factors of 78069

List of positive integer factors of 78069 that divides 78060 without a remainder.

1, 3, 53, 159, 491, 1473, 26023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78060 and 78069. The biggest common factor number is the GCF number.
So the greatest common factor 78060 and 78069 is 3.

Also check out the Least Common Multiple of 78060 and 78069