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 632, 638 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 632 and 638 is 2.
GCF(632,638) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 632
2 | 632 |
2 | 316 |
2 | 158 |
79 | 79 |
1 |
Prime factors of 632 are 2,79. Prime factorization of 632 in exponential form is:
632 = 23×791
Prime Factorization of 638
2 | 638 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 638 are 2,11,29. Prime factorization of 638 in exponential form is:
638 = 21×111×291
∴ So by taking common prime factors GCF of 632 and 638 is 2
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors and prime factorization of 632 and 638. The biggest common factor number is the GCF number.
So the greatest common factor 632 and 638 is 2.
Also check out the Least Common Multiple of 632 and 638
(i) The GCF of 632 and 638 is associative
GCF of 632 and 638 = GCF of 638 and 632
1. What is the GCF of 632 and 638?
Answer: GCF of 632 and 638 is 2.
2. What are the Factors of 632?
Answer: Factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632. There are 8 integers that are factors of 632. The greatest factor of 632 is 632.
3. What are the Factors of 638?
Answer: Factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638. There are 8 integers that are factors of 638. The greatest factor of 638 is 638.
4. How to Find the GCF of 632 and 638?
Answer:
Greatest Common Factor of 632 and 638 = 2
Step 1: Find the prime factorization of 632
632 = 2 x 2 x 2 x 79
Step 2: Find the prime factorization of 638
638 = 2 x 11 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 632 and 638 is 2