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 634, 641 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 634 and 641 is 1.
GCF(634,641) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 634
2 | 634 |
317 | 317 |
1 |
Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:
634 = 21×3171
Prime Factorization of 641
641 | 641 |
1 |
Prime factors of 641 are 641. Prime factorization of 641 in exponential form is:
641 = 6411
∴ So by taking common prime factors GCF of 634 and 641 is 1
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors and prime factorization of 634 and 641. The biggest common factor number is the GCF number.
So the greatest common factor 634 and 641 is 1.
Also check out the Least Common Multiple of 634 and 641
(i) The GCF of 634 and 641 is associative
GCF of 634 and 641 = GCF of 641 and 634
1. What is the GCF of 634 and 641?
Answer: GCF of 634 and 641 is 1.
2. What are the Factors of 634?
Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.
3. What are the Factors of 641?
Answer: Factors of 641 are 1, 641. There are 2 integers that are factors of 641. The greatest factor of 641 is 641.
4. How to Find the GCF of 634 and 641?
Answer:
Greatest Common Factor of 634 and 641 = 1
Step 1: Find the prime factorization of 634
634 = 2 x 317
Step 2: Find the prime factorization of 641
641 = 641
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 634 and 641 is 1