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, 479 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 472 and 479 is 1.
GCF(472,479) = 1
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 479
479 | 479 |
1 |
Prime factors of 479 are 479. Prime factorization of 479 in exponential form is:
479 = 4791
∴ So by taking common prime factors GCF of 472 and 479 is 1
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 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Greatest Common Factor
We found the factors and prime factorization of 472 and 479. The biggest common factor number is the GCF number.
So the greatest common factor 472 and 479 is 1.
Also check out the Least Common Multiple of 472 and 479
(i) The GCF of 472 and 479 is associative
GCF of 472 and 479 = GCF of 479 and 472
1. What is the GCF of 472 and 479?
Answer: GCF of 472 and 479 is 1.
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 479?
Answer: Factors of 479 are 1, 479. There are 2 integers that are factors of 479. The greatest factor of 479 is 479.
4. How to Find the GCF of 472 and 479?
Answer:
Greatest Common Factor of 472 and 479 = 1
Step 1: Find the prime factorization of 472
472 = 2 x 2 x 2 x 59
Step 2: Find the prime factorization of 479
479 = 479
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 472 and 479 is 1