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 472, 474 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 472 and 474 is 2.
GCF(472,474) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 474
2 | 474 |
3 | 237 |
79 | 79 |
1 |
Prime factors of 474 are 2,3,79. Prime factorization of 474 in exponential form is:
474 = 21×31×791
∴ So by taking common prime factors GCF of 472 and 474 is 2
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors and prime factorization of 472 and 474. The biggest common factor number is the GCF number.
So the greatest common factor 472 and 474 is 2.
Also check out the Least Common Multiple of 472 and 474
(i) The GCF of 472 and 474 is associative
GCF of 472 and 474 = GCF of 474 and 472
1. What is the GCF of 472 and 474?
Answer: GCF of 472 and 474 is 2.
2. 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.
3. What are the Factors of 474?
Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.
4. How to Find the GCF of 472 and 474?
Answer:
Greatest Common Factor of 472 and 474 = 2
Step 1: Find the prime factorization of 472
472 = 2 x 2 x 2 x 59
Step 2: Find the prime factorization of 474
474 = 2 x 3 x 79
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 472 and 474 is 2