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 4412, 4418 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4412 and 4418 is 2.
GCF(4412,4418) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4412
2 | 4412 |
2 | 2206 |
1103 | 1103 |
1 |
Prime factors of 4412 are 2,1103. Prime factorization of 4412 in exponential form is:
4412 = 22×11031
Prime Factorization of 4418
2 | 4418 |
47 | 2209 |
47 | 47 |
1 |
Prime factors of 4418 are 2,47. Prime factorization of 4418 in exponential form is:
4418 = 21×472
∴ So by taking common prime factors GCF of 4412 and 4418 is 2
Factors of 4412
List of positive integer factors of 4412 that divides 4412 without a remainder.
1,2,4,1103,2206,4412
Factors of 4418
List of positive integer factors of 4418 that divides 4418 without a remainder.
1,2,47,94,2209,4418
Greatest Common Factor
We found the factors and prime factorization of 4412 and 4418. The biggest common factor number is the GCF number.
So the greatest common factor 4412 and 4418 is 2.
Also check out the Least Common Multiple of 4412 and 4418
(i) The GCF of 4412 and 4418 is associative
GCF of 4412 and 4418 = GCF of 4418 and 4412
1. What is the GCF of 4412 and 4418?
Answer: GCF of 4412 and 4418 is 2.
2. What are the Factors of 4412?
Answer: Factors of 4412 are 1, 2, 4, 1103, 2206, 4412. There are 6 integers that are factors of 4412. The greatest factor of 4412 is 4412.
3. What are the Factors of 4418?
Answer: Factors of 4418 are 1, 2, 47, 94, 2209, 4418. There are 6 integers that are factors of 4418. The greatest factor of 4418 is 4418.
4. How to Find the GCF of 4412 and 4418?
Answer:
Greatest Common Factor of 4412 and 4418 = 2
Step 1: Find the prime factorization of 4412
4412 = 2 x 2 x 1103
Step 2: Find the prime factorization of 4418
4418 = 2 x 47 x 47
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4412 and 4418 is 2