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 469, 470 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 469 and 470 is 1.
GCF(469,470) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 469
7 | 469 |
67 | 67 |
1 |
Prime factors of 469 are 7,67. Prime factorization of 469 in exponential form is:
469 = 71×671
Prime Factorization of 470
2 | 470 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 470 are 2,5,47. Prime factorization of 470 in exponential form is:
470 = 21×51×471
∴ So by taking common prime factors GCF of 469 and 470 is 1
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors and prime factorization of 469 and 470. The biggest common factor number is the GCF number.
So the greatest common factor 469 and 470 is 1.
Also check out the Least Common Multiple of 469 and 470
(i) The GCF of 469 and 470 is associative
GCF of 469 and 470 = GCF of 470 and 469
1. What is the GCF of 469 and 470?
Answer: GCF of 469 and 470 is 1.
2. What are the Factors of 469?
Answer: Factors of 469 are 1, 7, 67, 469. There are 4 integers that are factors of 469. The greatest factor of 469 is 469.
3. What are the Factors of 470?
Answer: Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. There are 8 integers that are factors of 470. The greatest factor of 470 is 470.
4. How to Find the GCF of 469 and 470?
Answer:
Greatest Common Factor of 469 and 470 = 1
Step 1: Find the prime factorization of 469
469 = 7 x 67
Step 2: Find the prime factorization of 470
470 = 2 x 5 x 47
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 469 and 470 is 1