Greatest Common Factor of 6463 and 6464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6463, 6464 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6463 and 6464 is 1.

GCF(6463,6464) = 1

GCF of 6463 and 6464

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6463 and 6464

GCF of 6463 and 6464 is 1

Prime Factorization of 6463


23 6463
281 281
1

Prime factors of 6463 are 23,281. Prime factorization of 6463 in exponential form is:

6463 = 231×2811

Prime Factorization of 6464


2 6464
2 3232
2 1616
2 808
2 404
2 202
101 101
1

Prime factors of 6464 are 2,101. Prime factorization of 6464 in exponential form is:

6464 = 26×1011

∴ So by taking common prime factors GCF of 6463 and 6464 is 1

Greatest Common Factor of 6463 and 6464 by matching factors method

Factors of 6463

List of positive integer factors of 6463 that divides 6463 without a remainder.

1,23,281,6463

Factors of 6464

List of positive integer factors of 6464 that divides 6464 without a remainder.

1,2,4,8,16,32,64,101,202,404,808,1616,3232,6464

Greatest Common Factor

We found the factors and prime factorization of 6463 and 6464. The biggest common factor number is the GCF number.
So the greatest common factor 6463 and 6464 is 1.

Also check out the Least Common Multiple of 6463 and 6464

Properties of GCF 6463 and 6464

(i) The GCF of 6463 and 6464 is associative

GCF of 6463 and 6464 = GCF of 6464 and 6463

Frequently Asked Questions on GCF of 6463 and 6464

1. What is the GCF of 6463 and 6464?

Answer: GCF of 6463 and 6464 is 1.

2. What are the Factors of 6463?

Answer: Factors of 6463 are 1, 23, 281, 6463. There are 4 integers that are factors of 6463. The greatest factor of 6463 is 6463.

3. What are the Factors of 6464?

Answer: Factors of 6464 are 1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232, 6464. There are 14 integers that are factors of 6464. The greatest factor of 6464 is 6464.

4. How to Find the GCF of 6463 and 6464?

Answer:

Greatest Common Factor of 6463 and 6464 = 1

Step 1: Find the prime factorization of 6463

6463 = 23 x 281

Step 2: Find the prime factorization of 6464

6464 = 2 x 2 x 2 x 2 x 2 x 2 x 101

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 6463 and 6464 is 1