What is the Greatest Common Factor of 4270 and 4279?

Greatest common factor (GCF) of 4270 and 4279 is 1.

GCF(4270,4279) = 1

We will now calculate the prime factors of 4270 and 4279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4270 and 4279.

How to find the GCF of 4270 and 4279?

We will first find the prime factorization of 4270 and 4279. After we will calculate the factors of 4270 and 4279 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4279

Prime factors of 4279 are 11, 389. Prime factorization of 4279 in exponential form is:

4279 = 11¹ × 389¹

Step-3: Factors of 4270

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

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

Step-4: Factors of 4279

List of positive integer factors of 4279 that divides 4270 without a remainder.

1, 11, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4270 and 4279. The biggest common factor number is the GCF number.
So the greatest common factor 4270 and 4279 is 1.

Also check out the Least Common Multiple of 4270 and 4279