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 2616, 2623 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2616 and 2623 is 1.
GCF(2616,2623) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2616
2 | 2616 |
2 | 1308 |
2 | 654 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 2616 are 2,3,109. Prime factorization of 2616 in exponential form is:
2616 = 23×31×1091
Prime Factorization of 2623
43 | 2623 |
61 | 61 |
1 |
Prime factors of 2623 are 43,61. Prime factorization of 2623 in exponential form is:
2623 = 431×611
∴ So by taking common prime factors GCF of 2616 and 2623 is 1
Factors of 2616
List of positive integer factors of 2616 that divides 2616 without a remainder.
1,2,3,4,6,8,12,24,109,218,327,436,654,872,1308,2616
Factors of 2623
List of positive integer factors of 2623 that divides 2623 without a remainder.
1,43,61,2623
Greatest Common Factor
We found the factors and prime factorization of 2616 and 2623. The biggest common factor number is the GCF number.
So the greatest common factor 2616 and 2623 is 1.
Also check out the Least Common Multiple of 2616 and 2623
(i) The GCF of 2616 and 2623 is associative
GCF of 2616 and 2623 = GCF of 2623 and 2616
1. What is the GCF of 2616 and 2623?
Answer: GCF of 2616 and 2623 is 1.
2. What are the Factors of 2616?
Answer: Factors of 2616 are 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616. There are 16 integers that are factors of 2616. The greatest factor of 2616 is 2616.
3. What are the Factors of 2623?
Answer: Factors of 2623 are 1, 43, 61, 2623. There are 4 integers that are factors of 2623. The greatest factor of 2623 is 2623.
4. How to Find the GCF of 2616 and 2623?
Answer:
Greatest Common Factor of 2616 and 2623 = 1
Step 1: Find the prime factorization of 2616
2616 = 2 x 2 x 2 x 3 x 109
Step 2: Find the prime factorization of 2623
2623 = 43 x 61
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 2616 and 2623 is 1