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 637, 639 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 637 and 639 is 1.
GCF(637,639) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 637
7 | 637 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 637 are 7,13. Prime factorization of 637 in exponential form is:
637 = 72×131
Prime Factorization of 639
3 | 639 |
3 | 213 |
71 | 71 |
1 |
Prime factors of 639 are 3,71. Prime factorization of 639 in exponential form is:
639 = 32×711
∴ So by taking common prime factors GCF of 637 and 639 is 1
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Greatest Common Factor
We found the factors and prime factorization of 637 and 639. The biggest common factor number is the GCF number.
So the greatest common factor 637 and 639 is 1.
Also check out the Least Common Multiple of 637 and 639
(i) The GCF of 637 and 639 is associative
GCF of 637 and 639 = GCF of 639 and 637
1. What is the GCF of 637 and 639?
Answer: GCF of 637 and 639 is 1.
2. What are the Factors of 637?
Answer: Factors of 637 are 1, 7, 13, 49, 91, 637. There are 6 integers that are factors of 637. The greatest factor of 637 is 637.
3. What are the Factors of 639?
Answer: Factors of 639 are 1, 3, 9, 71, 213, 639. There are 6 integers that are factors of 639. The greatest factor of 639 is 639.
4. How to Find the GCF of 637 and 639?
Answer:
Greatest Common Factor of 637 and 639 = 1
Step 1: Find the prime factorization of 637
637 = 7 x 7 x 13
Step 2: Find the prime factorization of 639
639 = 3 x 3 x 71
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 637 and 639 is 1