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 572, 579 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 572 and 579 is 1.
GCF(572,579) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 572
2 | 572 |
2 | 286 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 572 are 2,11,13. Prime factorization of 572 in exponential form is:
572 = 22×111×131
Prime Factorization of 579
3 | 579 |
193 | 193 |
1 |
Prime factors of 579 are 3,193. Prime factorization of 579 in exponential form is:
579 = 31×1931
∴ So by taking common prime factors GCF of 572 and 579 is 1
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Greatest Common Factor
We found the factors and prime factorization of 572 and 579. The biggest common factor number is the GCF number.
So the greatest common factor 572 and 579 is 1.
Also check out the Least Common Multiple of 572 and 579
(i) The GCF of 572 and 579 is associative
GCF of 572 and 579 = GCF of 579 and 572
1. What is the GCF of 572 and 579?
Answer: GCF of 572 and 579 is 1.
2. What are the Factors of 572?
Answer: Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572. There are 12 integers that are factors of 572. The greatest factor of 572 is 572.
3. What are the Factors of 579?
Answer: Factors of 579 are 1, 3, 193, 579. There are 4 integers that are factors of 579. The greatest factor of 579 is 579.
4. How to Find the GCF of 572 and 579?
Answer:
Greatest Common Factor of 572 and 579 = 1
Step 1: Find the prime factorization of 572
572 = 2 x 2 x 11 x 13
Step 2: Find the prime factorization of 579
579 = 3 x 193
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 572 and 579 is 1