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 488, 489 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 488 and 489 is 1.
GCF(488,489) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 488
2 | 488 |
2 | 244 |
2 | 122 |
61 | 61 |
1 |
Prime factors of 488 are 2,61. Prime factorization of 488 in exponential form is:
488 = 23×611
Prime Factorization of 489
3 | 489 |
163 | 163 |
1 |
Prime factors of 489 are 3,163. Prime factorization of 489 in exponential form is:
489 = 31×1631
∴ So by taking common prime factors GCF of 488 and 489 is 1
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors and prime factorization of 488 and 489. The biggest common factor number is the GCF number.
So the greatest common factor 488 and 489 is 1.
Also check out the Least Common Multiple of 488 and 489
(i) The GCF of 488 and 489 is associative
GCF of 488 and 489 = GCF of 489 and 488
1. What is the GCF of 488 and 489?
Answer: GCF of 488 and 489 is 1.
2. What are the Factors of 488?
Answer: Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. There are 8 integers that are factors of 488. The greatest factor of 488 is 488.
3. What are the Factors of 489?
Answer: Factors of 489 are 1, 3, 163, 489. There are 4 integers that are factors of 489. The greatest factor of 489 is 489.
4. How to Find the GCF of 488 and 489?
Answer:
Greatest Common Factor of 488 and 489 = 1
Step 1: Find the prime factorization of 488
488 = 2 x 2 x 2 x 61
Step 2: Find the prime factorization of 489
489 = 3 x 163
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 488 and 489 is 1