Greatest Common Factor of 2464 and 2472

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, 2472 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2464 and 2472 is 8.

GCF(2464,2472) = 8

GCF of 2464 and 2472

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

GCF of:
and

Greatest Common Factor of 2464 and 2472

GCF of 2464 and 2472 is 8

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 2472


2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 2472 are 2,3,103. Prime factorization of 2472 in exponential form is:

2472 = 23×31×1031

∴ So by taking common prime factors GCF of 2464 and 2472 is 8

Greatest Common Factor of 2464 and 2472 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 2472

List of positive integer factors of 2472 that divides 2472 without a remainder.

1,2,3,4,6,8,12,24,103,206,309,412,618,824,1236,2472

Greatest Common Factor

We found the factors and prime factorization of 2464 and 2472. The biggest common factor number is the GCF number.
So the greatest common factor 2464 and 2472 is 8.

Also check out the Least Common Multiple of 2464 and 2472

Properties of GCF 2464 and 2472

(i) The GCF of 2464 and 2472 is associative

GCF of 2464 and 2472 = GCF of 2472 and 2464

Related Greatest Common Factor of 2464

Related Greatest Common Factor of 2472

Frequently Asked Questions on GCF of 2464 and 2472

1. What is the GCF of 2464 and 2472?

Answer: GCF of 2464 and 2472 is 8.

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 2472?

Answer: Factors of 2472 are 1, 2, 3, 4, 6, 8, 12, 24, 103, 206, 309, 412, 618, 824, 1236, 2472. There are 16 integers that are factors of 2472. The greatest factor of 2472 is 2472.

4. How to Find the GCF of 2464 and 2472?

Answer:

Greatest Common Factor of 2464 and 2472 = 8

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 2472

2472 = 2 x 2 x 2 x 3 x 103

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2464 and 2472 is 8