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 4435, 4442 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4435 and 4442 is 1.
GCF(4435,4442) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4435
5 | 4435 |
887 | 887 |
1 |
Prime factors of 4435 are 5,887. Prime factorization of 4435 in exponential form is:
4435 = 51×8871
Prime Factorization of 4442
2 | 4442 |
2221 | 2221 |
1 |
Prime factors of 4442 are 2,2221. Prime factorization of 4442 in exponential form is:
4442 = 21×22211
∴ So by taking common prime factors GCF of 4435 and 4442 is 1
Factors of 4435
List of positive integer factors of 4435 that divides 4435 without a remainder.
1,5,887,4435
Factors of 4442
List of positive integer factors of 4442 that divides 4442 without a remainder.
1,2,2221,4442
Greatest Common Factor
We found the factors and prime factorization of 4435 and 4442. The biggest common factor number is the GCF number.
So the greatest common factor 4435 and 4442 is 1.
Also check out the Least Common Multiple of 4435 and 4442
(i) The GCF of 4435 and 4442 is associative
GCF of 4435 and 4442 = GCF of 4442 and 4435
1. What is the GCF of 4435 and 4442?
Answer: GCF of 4435 and 4442 is 1.
2. What are the Factors of 4435?
Answer: Factors of 4435 are 1, 5, 887, 4435. There are 4 integers that are factors of 4435. The greatest factor of 4435 is 4435.
3. What are the Factors of 4442?
Answer: Factors of 4442 are 1, 2, 2221, 4442. There are 4 integers that are factors of 4442. The greatest factor of 4442 is 4442.
4. How to Find the GCF of 4435 and 4442?
Answer:
Greatest Common Factor of 4435 and 4442 = 1
Step 1: Find the prime factorization of 4435
4435 = 5 x 887
Step 2: Find the prime factorization of 4442
4442 = 2 x 2221
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 4435 and 4442 is 1