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 426, 428 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 426 and 428 is 2.
GCF(426,428) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 426
2 | 426 |
3 | 213 |
71 | 71 |
1 |
Prime factors of 426 are 2,3,71. Prime factorization of 426 in exponential form is:
426 = 21×31×711
Prime Factorization of 428
2 | 428 |
2 | 214 |
107 | 107 |
1 |
Prime factors of 428 are 2,107. Prime factorization of 428 in exponential form is:
428 = 22×1071
∴ So by taking common prime factors GCF of 426 and 428 is 2
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Greatest Common Factor
We found the factors and prime factorization of 426 and 428. The biggest common factor number is the GCF number.
So the greatest common factor 426 and 428 is 2.
Also check out the Least Common Multiple of 426 and 428
(i) The GCF of 426 and 428 is associative
GCF of 426 and 428 = GCF of 428 and 426
1. What is the GCF of 426 and 428?
Answer: GCF of 426 and 428 is 2.
2. What are the Factors of 426?
Answer: Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426. There are 8 integers that are factors of 426. The greatest factor of 426 is 426.
3. What are the Factors of 428?
Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.
4. How to Find the GCF of 426 and 428?
Answer:
Greatest Common Factor of 426 and 428 = 2
Step 1: Find the prime factorization of 426
426 = 2 x 3 x 71
Step 2: Find the prime factorization of 428
428 = 2 x 2 x 107
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 426 and 428 is 2