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 623, 626 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 623 and 626 is 1.
GCF(623,626) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 623
7 | 623 |
89 | 89 |
1 |
Prime factors of 623 are 7,89. Prime factorization of 623 in exponential form is:
623 = 71×891
Prime Factorization of 626
2 | 626 |
313 | 313 |
1 |
Prime factors of 626 are 2,313. Prime factorization of 626 in exponential form is:
626 = 21×3131
∴ So by taking common prime factors GCF of 623 and 626 is 1
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors and prime factorization of 623 and 626. The biggest common factor number is the GCF number.
So the greatest common factor 623 and 626 is 1.
Also check out the Least Common Multiple of 623 and 626
(i) The GCF of 623 and 626 is associative
GCF of 623 and 626 = GCF of 626 and 623
1. What is the GCF of 623 and 626?
Answer: GCF of 623 and 626 is 1.
2. What are the Factors of 623?
Answer: Factors of 623 are 1, 7, 89, 623. There are 4 integers that are factors of 623. The greatest factor of 623 is 623.
3. What are the Factors of 626?
Answer: Factors of 626 are 1, 2, 313, 626. There are 4 integers that are factors of 626. The greatest factor of 626 is 626.
4. How to Find the GCF of 623 and 626?
Answer:
Greatest Common Factor of 623 and 626 = 1
Step 1: Find the prime factorization of 623
623 = 7 x 89
Step 2: Find the prime factorization of 626
626 = 2 x 313
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 623 and 626 is 1