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 87, 88 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 87 and 88 is 1.
GCF(87,88) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 87
3 | 87 |
29 | 29 |
1 |
Prime factors of 87 are 3,29. Prime factorization of 87 in exponential form is:
87 = 31×291
Prime Factorization of 88
2 | 88 |
2 | 44 |
2 | 22 |
11 | 11 |
1 |
Prime factors of 88 are 2,11. Prime factorization of 88 in exponential form is:
88 = 23×111
∴ So by taking common prime factors GCF of 87 and 88 is 1
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Greatest Common Factor
We found the factors and prime factorization of 87 and 88. The biggest common factor number is the GCF number.
So the greatest common factor 87 and 88 is 1.
Also check out the Least Common Multiple of 87 and 88
(i) The GCF of 87 and 88 is associative
GCF of 87 and 88 = GCF of 88 and 87
1. What is the GCF of 87 and 88?
Answer: GCF of 87 and 88 is 1.
2. What are the Factors of 87?
Answer: Factors of 87 are 1, 3, 29, 87. There are 4 integers that are factors of 87. The greatest factor of 87 is 87.
3. What are the Factors of 88?
Answer: Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. There are 8 integers that are factors of 88. The greatest factor of 88 is 88.
4. How to Find the GCF of 87 and 88?
Answer:
Greatest Common Factor of 87 and 88 = 1
Step 1: Find the prime factorization of 87
87 = 3 x 29
Step 2: Find the prime factorization of 88
88 = 2 x 2 x 2 x 11
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 87 and 88 is 1