Greatest Common Factor of 42 and 50
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 42, 50 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 42 and 50 is 2.
GCF(42,50) = 2
GCF of 42 and 50
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 42 and 50 by prime factorization method
- Greatest Common Factor of 42 and 50 by matching factors method
GCF of 42 and 50 is 2
Prime Factorization of 42
| 2 | 42 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 42 are 2,3,7. Prime factorization of 42 in exponential form is:
42 = 21×31×71
Prime Factorization of 50
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 50 are 2,5. Prime factorization of 50 in exponential form is:
50 = 21×52
∴ So by taking common prime factors GCF of 42 and 50 is 2
Greatest Common Factor of 42 and 50 by matching factors method
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Greatest Common Factor
We found the factors and prime factorization of 42 and 50. The biggest common factor number is the GCF number.
So the greatest common factor 42 and 50 is 2.
Also check out the Least Common Multiple of 42 and 50
Properties of GCF 42 and 50
(i) The GCF of 42 and 50 is associative
GCF of 42 and 50 = GCF of 50 and 42
Related Greatest Common Factor of 42
Related Greatest Common Factor of 50
Frequently Asked Questions on GCF of 42 and 50
1. What is the GCF of 42 and 50?
Answer: GCF of 42 and 50 is 2.
2. What are the Factors of 42?
Answer: Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. There are 8 integers that are factors of 42. The greatest factor of 42 is 42.
3. What are the Factors of 50?
Answer: Factors of 50 are 1, 2, 5, 10, 25, 50. There are 6 integers that are factors of 50. The greatest factor of 50 is 50.
4. How to Find the GCF of 42 and 50?
Answer:
Greatest Common Factor of 42 and 50 = 2
Step 1: Find the prime factorization of 42
42 = 2 x 3 x 7
Step 2: Find the prime factorization of 50
50 = 2 x 5 x 5
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 42 and 50 is 2
