What is the Greatest Common Factor of 63060 and 63069?

Greatest common factor (GCF) of 63060 and 63069 is 3.

GCF(63060,63069) = 3

We will now calculate the prime factors of 63060 and 63069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63060 and 63069.

How to find the GCF of 63060 and 63069?

We will first find the prime factorization of 63060 and 63069. After we will calculate the factors of 63060 and 63069 and find the biggest common factor number .

Step-1: Prime Factorization of 63060

Prime factors of 63060 are 2, 3, 5, 1051. Prime factorization of 63060 in exponential form is:

63060 = 2² × 3¹ × 5¹ × 1051¹

Step-2: Prime Factorization of 63069

Prime factors of 63069 are 3, 21023. Prime factorization of 63069 in exponential form is:

63069 = 3¹ × 21023¹

Step-3: Factors of 63060

List of positive integer factors of 63060 that divides 63060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1051, 2102, 3153, 4204, 5255, 6306, 10510, 12612, 15765, 21020, 31530

Step-4: Factors of 63069

List of positive integer factors of 63069 that divides 63060 without a remainder.

1, 3, 21023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63060 and 63069. The biggest common factor number is the GCF number.
So the greatest common factor 63060 and 63069 is 3.

Also check out the Least Common Multiple of 63060 and 63069