Greatest Common Factor of 2464 and 2466

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 2464, 2466 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2464 and 2466 is 2.

GCF(2464,2466) = 2

GCF of 2464 and 2466

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

GCF of:
and

Greatest Common Factor of 2464 and 2466

GCF of 2464 and 2466 is 2

Prime Factorization of 2464


2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

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

2464 = 25×71×111

Prime Factorization of 2466


2 2466
3 1233
3 411
137 137
1

Prime factors of 2466 are 2,3,137. Prime factorization of 2466 in exponential form is:

2466 = 21×32×1371

∴ So by taking common prime factors GCF of 2464 and 2466 is 2

Greatest Common Factor of 2464 and 2466 by matching factors method

Factors of 2464

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

1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464

Factors of 2466

List of positive integer factors of 2466 that divides 2466 without a remainder.

1,2,3,6,9,18,137,274,411,822,1233,2466

Greatest Common Factor

We found the factors and prime factorization of 2464 and 2466. The biggest common factor number is the GCF number.
So the greatest common factor 2464 and 2466 is 2.

Also check out the Least Common Multiple of 2464 and 2466

Properties of GCF 2464 and 2466

(i) The GCF of 2464 and 2466 is associative

GCF of 2464 and 2466 = GCF of 2466 and 2464

Related Greatest Common Factor of 2464

Related Greatest Common Factor of 2466

Frequently Asked Questions on GCF of 2464 and 2466

1. What is the GCF of 2464 and 2466?

Answer: GCF of 2464 and 2466 is 2.

2. What are the Factors of 2464?

Answer: Factors of 2464 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464. There are 24 integers that are factors of 2464. The greatest factor of 2464 is 2464.

3. What are the Factors of 2466?

Answer: Factors of 2466 are 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233, 2466. There are 12 integers that are factors of 2466. The greatest factor of 2466 is 2466.

4. How to Find the GCF of 2464 and 2466?

Answer:

Greatest Common Factor of 2464 and 2466 = 2

Step 1: Find the prime factorization of 2464

2464 = 2 x 2 x 2 x 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 2466

2466 = 2 x 3 x 3 x 137

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2464 and 2466 is 2