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 8607, 8612 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8607 and 8612 is 1.
GCF(8607,8612) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8607
3 | 8607 |
19 | 2869 |
151 | 151 |
1 |
Prime factors of 8607 are 3,19,151. Prime factorization of 8607 in exponential form is:
8607 = 31×191×1511
Prime Factorization of 8612
2 | 8612 |
2 | 4306 |
2153 | 2153 |
1 |
Prime factors of 8612 are 2,2153. Prime factorization of 8612 in exponential form is:
8612 = 22×21531
∴ So by taking common prime factors GCF of 8607 and 8612 is 1
Factors of 8607
List of positive integer factors of 8607 that divides 8607 without a remainder.
1,3,19,57,151,453,2869,8607
Factors of 8612
List of positive integer factors of 8612 that divides 8612 without a remainder.
1,2,4,2153,4306,8612
Greatest Common Factor
We found the factors and prime factorization of 8607 and 8612. The biggest common factor number is the GCF number.
So the greatest common factor 8607 and 8612 is 1.
Also check out the Least Common Multiple of 8607 and 8612
(i) The GCF of 8607 and 8612 is associative
GCF of 8607 and 8612 = GCF of 8612 and 8607
1. What is the GCF of 8607 and 8612?
Answer: GCF of 8607 and 8612 is 1.
2. What are the Factors of 8607?
Answer: Factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607. There are 8 integers that are factors of 8607. The greatest factor of 8607 is 8607.
3. What are the Factors of 8612?
Answer: Factors of 8612 are 1, 2, 4, 2153, 4306, 8612. There are 6 integers that are factors of 8612. The greatest factor of 8612 is 8612.
4. How to Find the GCF of 8607 and 8612?
Answer:
Greatest Common Factor of 8607 and 8612 = 1
Step 1: Find the prime factorization of 8607
8607 = 3 x 19 x 151
Step 2: Find the prime factorization of 8612
8612 = 2 x 2 x 2153
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 8607 and 8612 is 1