Greatest Common Factor of 4460 and 4464

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 4460, 4464 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4460 and 4464 is 4.

GCF(4460,4464) = 4

GCF of 4460 and 4464

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

GCF of:
and

Greatest Common Factor of 4460 and 4464

GCF of 4460 and 4464 is 4

Prime Factorization of 4460


2 4460
2 2230
5 1115
223 223
1

Prime factors of 4460 are 2,5,223. Prime factorization of 4460 in exponential form is:

4460 = 22×51×2231

Prime Factorization of 4464


2 4464
2 2232
2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 4464 are 2,3,31. Prime factorization of 4464 in exponential form is:

4464 = 24×32×311

∴ So by taking common prime factors GCF of 4460 and 4464 is 4

Greatest Common Factor of 4460 and 4464 by matching factors method

Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1,2,4,5,10,20,223,446,892,1115,2230,4460

Factors of 4464

List of positive integer factors of 4464 that divides 4464 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,31,36,48,62,72,93,124,144,186,248,279,372,496,558,744,1116,1488,2232,4464

Greatest Common Factor

We found the factors and prime factorization of 4460 and 4464. The biggest common factor number is the GCF number.
So the greatest common factor 4460 and 4464 is 4.

Also check out the Least Common Multiple of 4460 and 4464

Properties of GCF 4460 and 4464

(i) The GCF of 4460 and 4464 is associative

GCF of 4460 and 4464 = GCF of 4464 and 4460

Related Greatest Common Factor of 4460

Related Greatest Common Factor of 4464

Frequently Asked Questions on GCF of 4460 and 4464

1. What is the GCF of 4460 and 4464?

Answer: GCF of 4460 and 4464 is 4.

2. What are the Factors of 4460?

Answer: Factors of 4460 are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460. There are 12 integers that are factors of 4460. The greatest factor of 4460 is 4460.

3. What are the Factors of 4464?

Answer: Factors of 4464 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232, 4464. There are 30 integers that are factors of 4464. The greatest factor of 4464 is 4464.

4. How to Find the GCF of 4460 and 4464?

Answer:

Greatest Common Factor of 4460 and 4464 = 4

Step 1: Find the prime factorization of 4460

4460 = 2 x 2 x 5 x 223

Step 2: Find the prime factorization of 4464

4464 = 2 x 2 x 2 x 2 x 3 x 3 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4460 and 4464 is 4