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 471, 472 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 471 and 472 is 1.
GCF(471,472) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 471
3 | 471 |
157 | 157 |
1 |
Prime factors of 471 are 3,157. Prime factorization of 471 in exponential form is:
471 = 31×1571
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 471 and 472 is 1
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
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 471 and 472. The biggest common factor number is the GCF number.
So the greatest common factor 471 and 472 is 1.
Also check out the Least Common Multiple of 471 and 472
(i) The GCF of 471 and 472 is associative
GCF of 471 and 472 = GCF of 472 and 471
1. What is the GCF of 471 and 472?
Answer: GCF of 471 and 472 is 1.
2. What are the Factors of 471?
Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.
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 471 and 472?
Answer:
Greatest Common Factor of 471 and 472 = 1
Step 1: Find the prime factorization of 471
471 = 3 x 157
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 = = 1
Step 4: Therefore, the greatest common factor of 471 and 472 is 1