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 444, 452 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 444 and 452 is 4.
GCF(444,452) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 444
2 | 444 |
2 | 222 |
3 | 111 |
37 | 37 |
1 |
Prime factors of 444 are 2,3,37. Prime factorization of 444 in exponential form is:
444 = 22×31×371
Prime Factorization of 452
2 | 452 |
2 | 226 |
113 | 113 |
1 |
Prime factors of 452 are 2,113. Prime factorization of 452 in exponential form is:
452 = 22×1131
∴ So by taking common prime factors GCF of 444 and 452 is 4
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Greatest Common Factor
We found the factors and prime factorization of 444 and 452. The biggest common factor number is the GCF number.
So the greatest common factor 444 and 452 is 4.
Also check out the Least Common Multiple of 444 and 452
(i) The GCF of 444 and 452 is associative
GCF of 444 and 452 = GCF of 452 and 444
1. What is the GCF of 444 and 452?
Answer: GCF of 444 and 452 is 4.
2. What are the Factors of 444?
Answer: Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. There are 12 integers that are factors of 444. The greatest factor of 444 is 444.
3. What are the Factors of 452?
Answer: Factors of 452 are 1, 2, 4, 113, 226, 452. There are 6 integers that are factors of 452. The greatest factor of 452 is 452.
4. How to Find the GCF of 444 and 452?
Answer:
Greatest Common Factor of 444 and 452 = 4
Step 1: Find the prime factorization of 444
444 = 2 x 2 x 3 x 37
Step 2: Find the prime factorization of 452
452 = 2 x 2 x 113
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 444 and 452 is 4