What is the Greatest Common Factor of 4264 and 4270?

Greatest common factor (GCF) of 4264 and 4270 is 2.

GCF(4264,4270) = 2

We will now calculate the prime factors of 4264 and 4270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4264 and 4270.

How to find the GCF of 4264 and 4270?

We will first find the prime factorization of 4264 and 4270. After we will calculate the factors of 4264 and 4270 and find the biggest common factor number .

Step-1: Prime Factorization of 4264

Prime factors of 4264 are 2, 13, 41. Prime factorization of 4264 in exponential form is:

4264 = 2³ × 13¹ × 41¹

Step-2: Prime Factorization of 4270

Prime factors of 4270 are 2, 5, 7, 61. Prime factorization of 4270 in exponential form is:

4270 = 2¹ × 5¹ × 7¹ × 61¹

Step-3: Factors of 4264

List of positive integer factors of 4264 that divides 4264 without a remainder.

1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132

Step-4: Factors of 4270

List of positive integer factors of 4270 that divides 4264 without a remainder.

1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4264 and 4270. The biggest common factor number is the GCF number.
So the greatest common factor 4264 and 4270 is 2.

Also check out the Least Common Multiple of 4264 and 4270