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 4472, 4476 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4472 and 4476 is 4.
GCF(4472,4476) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4472
2 | 4472 |
2 | 2236 |
2 | 1118 |
13 | 559 |
43 | 43 |
1 |
Prime factors of 4472 are 2,13,43. Prime factorization of 4472 in exponential form is:
4472 = 23×131×431
Prime Factorization of 4476
2 | 4476 |
2 | 2238 |
3 | 1119 |
373 | 373 |
1 |
Prime factors of 4476 are 2,3,373. Prime factorization of 4476 in exponential form is:
4476 = 22×31×3731
∴ So by taking common prime factors GCF of 4472 and 4476 is 4
Factors of 4472
List of positive integer factors of 4472 that divides 4472 without a remainder.
1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472
Factors of 4476
List of positive integer factors of 4476 that divides 4476 without a remainder.
1,2,3,4,6,12,373,746,1119,1492,2238,4476
Greatest Common Factor
We found the factors and prime factorization of 4472 and 4476. The biggest common factor number is the GCF number.
So the greatest common factor 4472 and 4476 is 4.
Also check out the Least Common Multiple of 4472 and 4476
(i) The GCF of 4472 and 4476 is associative
GCF of 4472 and 4476 = GCF of 4476 and 4472
1. What is the GCF of 4472 and 4476?
Answer: GCF of 4472 and 4476 is 4.
2. What are the Factors of 4472?
Answer: Factors of 4472 are 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472. There are 16 integers that are factors of 4472. The greatest factor of 4472 is 4472.
3. What are the Factors of 4476?
Answer: Factors of 4476 are 1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476. There are 12 integers that are factors of 4476. The greatest factor of 4476 is 4476.
4. How to Find the GCF of 4472 and 4476?
Answer:
Greatest Common Factor of 4472 and 4476 = 4
Step 1: Find the prime factorization of 4472
4472 = 2 x 2 x 2 x 13 x 43
Step 2: Find the prime factorization of 4476
4476 = 2 x 2 x 3 x 373
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 4472 and 4476 is 4