What is the Greatest Common Factor of 52065 and 52078?

Greatest common factor (GCF) of 52065 and 52078 is 13.

GCF(52065,52078) = 13

We will now calculate the prime factors of 52065 and 52078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52065 and 52078.

How to find the GCF of 52065 and 52078?

We will first find the prime factorization of 52065 and 52078. After we will calculate the factors of 52065 and 52078 and find the biggest common factor number .

Step-1: Prime Factorization of 52065

Prime factors of 52065 are 3, 5, 13, 89. Prime factorization of 52065 in exponential form is:

52065 = 3² × 5¹ × 13¹ × 89¹

Step-2: Prime Factorization of 52078

Prime factors of 52078 are 2, 13, 2003. Prime factorization of 52078 in exponential form is:

52078 = 2¹ × 13¹ × 2003¹

Step-3: Factors of 52065

List of positive integer factors of 52065 that divides 52065 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 89, 117, 195, 267, 445, 585, 801, 1157, 1335, 3471, 4005, 5785, 10413, 17355

Step-4: Factors of 52078

List of positive integer factors of 52078 that divides 52065 without a remainder.

1, 2, 13, 26, 2003, 4006, 26039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52065 and 52078. The biggest common factor number is the GCF number.
So the greatest common factor 52065 and 52078 is 13.

Also check out the Least Common Multiple of 52065 and 52078