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 4469, 4472 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4469 and 4472 is 1.
GCF(4469,4472) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4469
41 | 4469 |
109 | 109 |
1 |
Prime factors of 4469 are 41,109. Prime factorization of 4469 in exponential form is:
4469 = 411×1091
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
∴ So by taking common prime factors GCF of 4469 and 4472 is 1
Factors of 4469
List of positive integer factors of 4469 that divides 4469 without a remainder.
1,41,109,4469
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
Greatest Common Factor
We found the factors and prime factorization of 4469 and 4472. The biggest common factor number is the GCF number.
So the greatest common factor 4469 and 4472 is 1.
Also check out the Least Common Multiple of 4469 and 4472
(i) The GCF of 4469 and 4472 is associative
GCF of 4469 and 4472 = GCF of 4472 and 4469
1. What is the GCF of 4469 and 4472?
Answer: GCF of 4469 and 4472 is 1.
2. What are the Factors of 4469?
Answer: Factors of 4469 are 1, 41, 109, 4469. There are 4 integers that are factors of 4469. The greatest factor of 4469 is 4469.
3. 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.
4. How to Find the GCF of 4469 and 4472?
Answer:
Greatest Common Factor of 4469 and 4472 = 1
Step 1: Find the prime factorization of 4469
4469 = 41 x 109
Step 2: Find the prime factorization of 4472
4472 = 2 x 2 x 2 x 13 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 4469 and 4472 is 1