What is the Greatest Common Factor of 27042 and 27060?

Greatest common factor (GCF) of 27042 and 27060 is 6.

GCF(27042,27060) = 6

We will now calculate the prime factors of 27042 and 27060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27042 and 27060.

How to find the GCF of 27042 and 27060?

We will first find the prime factorization of 27042 and 27060. After we will calculate the factors of 27042 and 27060 and find the biggest common factor number .

Step-1: Prime Factorization of 27042

Prime factors of 27042 are 2, 3, 4507. Prime factorization of 27042 in exponential form is:

27042 = 2¹ × 3¹ × 4507¹

Step-2: Prime Factorization of 27060

Prime factors of 27060 are 2, 3, 5, 11, 41. Prime factorization of 27060 in exponential form is:

27060 = 2² × 3¹ × 5¹ × 11¹ × 41¹

Step-3: Factors of 27042

List of positive integer factors of 27042 that divides 27042 without a remainder.

1, 2, 3, 6, 4507, 9014, 13521

Step-4: Factors of 27060

List of positive integer factors of 27060 that divides 27042 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 41, 44, 55, 60, 66, 82, 110, 123, 132, 164, 165, 205, 220, 246, 330, 410, 451, 492, 615, 660, 820, 902, 1230, 1353, 1804, 2255, 2460, 2706, 4510, 5412, 6765, 9020, 13530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27042 and 27060. The biggest common factor number is the GCF number.
So the greatest common factor 27042 and 27060 is 6.

Also check out the Least Common Multiple of 27042 and 27060