What is the Greatest Common Factor of 4260 and 4266?

Greatest common factor (GCF) of 4260 and 4266 is 6.

GCF(4260,4266) = 6

We will now calculate the prime factors of 4260 and 4266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4260 and 4266.

How to find the GCF of 4260 and 4266?

We will first find the prime factorization of 4260 and 4266. After we will calculate the factors of 4260 and 4266 and find the biggest common factor number .

Step-1: Prime Factorization of 4260

Prime factors of 4260 are 2, 3, 5, 71. Prime factorization of 4260 in exponential form is:

4260 = 2² × 3¹ × 5¹ × 71¹

Step-2: Prime Factorization of 4266

Prime factors of 4266 are 2, 3, 79. Prime factorization of 4266 in exponential form is:

4266 = 2¹ × 3³ × 79¹

Step-3: Factors of 4260

List of positive integer factors of 4260 that divides 4260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130

Step-4: Factors of 4266

List of positive integer factors of 4266 that divides 4260 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 79, 158, 237, 474, 711, 1422, 2133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4260 and 4266. The biggest common factor number is the GCF number.
So the greatest common factor 4260 and 4266 is 6.

Also check out the Least Common Multiple of 4260 and 4266