What is the Greatest Common Factor of 2447 and 2464?

Greatest common factor (GCF) of 2447 and 2464 is 1.

GCF(2447,2464) = 1

We will now calculate the prime factors of 2447 and 2464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2447 and 2464.

How to find the GCF of 2447 and 2464?

We will first find the prime factorization of 2447 and 2464. After we will calculate the factors of 2447 and 2464 and find the biggest common factor number .

Step-1: Prime Factorization of 2447

Prime factors of 2447 are 2447. Prime factorization of 2447 in exponential form is:

2447 = 2447¹

Step-2: Prime Factorization of 2464

Prime factors of 2464 are 2, 7, 11. Prime factorization of 2464 in exponential form is:

2464 = 2⁵ × 7¹ × 11¹

Step-3: Factors of 2447

List of positive integer factors of 2447 that divides 2447 without a remainder.

Step-4: Factors of 2464

List of positive integer factors of 2464 that divides 2447 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2447 and 2464. The biggest common factor number is the GCF number.
So the greatest common factor 2447 and 2464 is 1.

Also check out the Least Common Multiple of 2447 and 2464