Greatest Common Factor of 1464 and 1467

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 1464, 1467 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1464 and 1467 is 3.

GCF(1464,1467) = 3

GCF of 1464 and 1467

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

GCF of:
and

Greatest Common Factor of 1464 and 1467

GCF of 1464 and 1467 is 3

Prime Factorization of 1464


2 1464
2 732
2 366
3 183
61 61
1

Prime factors of 1464 are 2,3,61. Prime factorization of 1464 in exponential form is:

1464 = 23×31×611

Prime Factorization of 1467


3 1467
3 489
163 163
1

Prime factors of 1467 are 3,163. Prime factorization of 1467 in exponential form is:

1467 = 32×1631

∴ So by taking common prime factors GCF of 1464 and 1467 is 3

Greatest Common Factor of 1464 and 1467 by matching factors method

Factors of 1464

List of positive integer factors of 1464 that divides 1464 without a remainder.

1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464

Factors of 1467

List of positive integer factors of 1467 that divides 1467 without a remainder.

1,3,9,163,489,1467

Greatest Common Factor

We found the factors and prime factorization of 1464 and 1467. The biggest common factor number is the GCF number.
So the greatest common factor 1464 and 1467 is 3.

Also check out the Least Common Multiple of 1464 and 1467

Properties of GCF 1464 and 1467

(i) The GCF of 1464 and 1467 is associative

GCF of 1464 and 1467 = GCF of 1467 and 1464

Related Greatest Common Factor of 1464

Related Greatest Common Factor of 1467

Frequently Asked Questions on GCF of 1464 and 1467

1. What is the GCF of 1464 and 1467?

Answer: GCF of 1464 and 1467 is 3.

2. What are the Factors of 1464?

Answer: Factors of 1464 are 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464. There are 16 integers that are factors of 1464. The greatest factor of 1464 is 1464.

3. What are the Factors of 1467?

Answer: Factors of 1467 are 1, 3, 9, 163, 489, 1467. There are 6 integers that are factors of 1467. The greatest factor of 1467 is 1467.

4. How to Find the GCF of 1464 and 1467?

Answer:

Greatest Common Factor of 1464 and 1467 = 3

Step 1: Find the prime factorization of 1464

1464 = 2 x 2 x 2 x 3 x 61

Step 2: Find the prime factorization of 1467

1467 = 3 x 3 x 163

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1464 and 1467 is 3