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 636, 637 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 636 and 637 is 1.
GCF(636,637) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 636
2 | 636 |
2 | 318 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 636 are 2,3,53. Prime factorization of 636 in exponential form is:
636 = 22×31×531
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
∴ So by taking common prime factors GCF of 636 and 637 is 1
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Greatest Common Factor
We found the factors and prime factorization of 636 and 637. The biggest common factor number is the GCF number.
So the greatest common factor 636 and 637 is 1.
Also check out the Least Common Multiple of 636 and 637
(i) The GCF of 636 and 637 is associative
GCF of 636 and 637 = GCF of 637 and 636
1. What is the GCF of 636 and 637?
Answer: GCF of 636 and 637 is 1.
2. What are the Factors of 636?
Answer: Factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636. There are 12 integers that are factors of 636. The greatest factor of 636 is 636.
3. 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.
4. How to Find the GCF of 636 and 637?
Answer:
Greatest Common Factor of 636 and 637 = 1
Step 1: Find the prime factorization of 636
636 = 2 x 2 x 3 x 53
Step 2: Find the prime factorization of 637
637 = 7 x 7 x 13
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 636 and 637 is 1