What is the Greatest Common Factor of 4240 and 4260?

Greatest common factor (GCF) of 4240 and 4260 is 20.

GCF(4240,4260) = 20

We will now calculate the prime factors of 4240 and 4260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4240 and 4260.

How to find the GCF of 4240 and 4260?

We will first find the prime factorization of 4240 and 4260. After we will calculate the factors of 4240 and 4260 and find the biggest common factor number .

Step-1: Prime Factorization of 4240

Prime factors of 4240 are 2, 5, 53. Prime factorization of 4240 in exponential form is:

4240 = 2⁴ × 5¹ × 53¹

Step-2: 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-3: Factors of 4240

List of positive integer factors of 4240 that divides 4240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120

Step-4: Factors of 4260

List of positive integer factors of 4260 that divides 4240 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4240 and 4260. The biggest common factor number is the GCF number.
So the greatest common factor 4240 and 4260 is 20.

Also check out the Least Common Multiple of 4240 and 4260