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 470, 472 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 470 and 472 is 2.
GCF(470,472) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 472
2 | 472 |
2 | 236 |
2 | 118 |
59 | 59 |
1 |
Prime factors of 472 are 2,59. Prime factorization of 472 in exponential form is:
472 = 23×591
∴ So by taking common prime factors GCF of 470 and 472 is 2
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors and prime factorization of 470 and 472. The biggest common factor number is the GCF number.
So the greatest common factor 470 and 472 is 2.
Also check out the Least Common Multiple of 470 and 472
(i) The GCF of 470 and 472 is associative
GCF of 470 and 472 = GCF of 472 and 470
1. What is the GCF of 470 and 472?
Answer: GCF of 470 and 472 is 2.
2. 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.
3. What are the Factors of 472?
Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.
4. How to Find the GCF of 470 and 472?
Answer:
Greatest Common Factor of 470 and 472 = 2
Step 1: Find the prime factorization of 470
470 = 2 x 5 x 47
Step 2: Find the prime factorization of 472
472 = 2 x 2 x 2 x 59
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 470 and 472 is 2