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 2472, 2476 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2472 and 2476 is 4.
GCF(2472,2476) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2476
2 | 2476 |
2 | 1238 |
619 | 619 |
1 |
Prime factors of 2476 are 2,619. Prime factorization of 2476 in exponential form is:
2476 = 22×6191
∴ So by taking common prime factors GCF of 2472 and 2476 is 4
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
Factors of 2476
List of positive integer factors of 2476 that divides 2476 without a remainder.
1,2,4,619,1238,2476
Greatest Common Factor
We found the factors and prime factorization of 2472 and 2476. The biggest common factor number is the GCF number.
So the greatest common factor 2472 and 2476 is 4.
Also check out the Least Common Multiple of 2472 and 2476
(i) The GCF of 2472 and 2476 is associative
GCF of 2472 and 2476 = GCF of 2476 and 2472
1. What is the GCF of 2472 and 2476?
Answer: GCF of 2472 and 2476 is 4.
2. 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.
3. What are the Factors of 2476?
Answer: Factors of 2476 are 1, 2, 4, 619, 1238, 2476. There are 6 integers that are factors of 2476. The greatest factor of 2476 is 2476.
4. How to Find the GCF of 2472 and 2476?
Answer:
Greatest Common Factor of 2472 and 2476 = 4
Step 1: Find the prime factorization of 2472
2472 = 2 x 2 x 2 x 3 x 103
Step 2: Find the prime factorization of 2476
2476 = 2 x 2 x 619
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 2472 and 2476 is 4