Greatest Common Factor of 10459 and 10464

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 10459, 10464 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10459 and 10464 is 1.

GCF(10459,10464) = 1

GCF of 10459 and 10464

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

GCF of:
and

Greatest Common Factor of 10459 and 10464

GCF of 10459 and 10464 is 1

Prime Factorization of 10459


10459 10459
1

Prime factors of 10459 are 10459. Prime factorization of 10459 in exponential form is:

10459 = 104591

Prime Factorization of 10464


2 10464
2 5232
2 2616
2 1308
2 654
3 327
109 109
1

Prime factors of 10464 are 2.Prime factorization of 10464 in exponential form is:

10464 = 25×31×1091

∴ So by taking common prime factors GCF of 10459 and 10464 is 1

Greatest Common Factor of 10459 and 10464 by matching factors method

Factors of 10459

List of positive integer factors of 10459 that divides 10459 without a remainder.

1,10459

Factors of 10464

List of positive integer factors of 10464 that divides 10464 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,109,218,327,436,654,872,1308,1744,2616,3488,5232,10464

Greatest Common Factor

We found the factors and prime factorization of 10459 and 10464. The biggest common factor number is the GCF number.
So the greatest common factor 10459 and 10464 is 1.

Also check out the Least Common Multiple of 10459 and 10464

Properties of GCF 10459 and 10464

(i) The GCF of 10459 and 10464 is associative

GCF of 10459 and 10464 = GCF of 10464 and 10459

Related Greatest Common Factor of 10459

Related Greatest Common Factor of 10464

Frequently Asked Questions on GCF of 10459 and 10464

1. What is the GCF of 10459 and 10464?

Answer: GCF of 10459 and 10464 is 1.

2. What are the Factors of 10459?

Answer: Factors of 10459 are 1, 10459. There are 2 integers that are factors of 10459. The greatest factor of 10459 is 10459.

3. What are the Factors of 10464?

Answer: Factors of 10464 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 3488, 5232, 10464. There are 24 integers that are factors of 10464. The greatest factor of 10464 is 10464.

4. How to Find the GCF of 10459 and 10464?

Answer:

Greatest Common Factor of 10459 and 10464 = 1

Step 1: Find the prime factorization of 10459

10459 = 10459

Step 2: Find the prime factorization of 10464

10464 = 2 x 2 x 2 x 2 x 2 x 3 x 109

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 10459 and 10464 is 1