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 4632, 4636 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4632 and 4636 is 4.
GCF(4632,4636) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4632
2 | 4632 |
2 | 2316 |
2 | 1158 |
3 | 579 |
193 | 193 |
1 |
Prime factors of 4632 are 2,3,193. Prime factorization of 4632 in exponential form is:
4632 = 23×31×1931
Prime Factorization of 4636
2 | 4636 |
2 | 2318 |
19 | 1159 |
61 | 61 |
1 |
Prime factors of 4636 are 2,19,61. Prime factorization of 4636 in exponential form is:
4636 = 22×191×611
∴ So by taking common prime factors GCF of 4632 and 4636 is 4
Factors of 4632
List of positive integer factors of 4632 that divides 4632 without a remainder.
1,2,3,4,6,8,12,24,193,386,579,772,1158,1544,2316,4632
Factors of 4636
List of positive integer factors of 4636 that divides 4636 without a remainder.
1,2,4,19,38,61,76,122,244,1159,2318,4636
Greatest Common Factor
We found the factors and prime factorization of 4632 and 4636. The biggest common factor number is the GCF number.
So the greatest common factor 4632 and 4636 is 4.
Also check out the Least Common Multiple of 4632 and 4636
(i) The GCF of 4632 and 4636 is associative
GCF of 4632 and 4636 = GCF of 4636 and 4632
1. What is the GCF of 4632 and 4636?
Answer: GCF of 4632 and 4636 is 4.
2. What are the Factors of 4632?
Answer: Factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632. There are 16 integers that are factors of 4632. The greatest factor of 4632 is 4632.
3. What are the Factors of 4636?
Answer: Factors of 4636 are 1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636. There are 12 integers that are factors of 4636. The greatest factor of 4636 is 4636.
4. How to Find the GCF of 4632 and 4636?
Answer:
Greatest Common Factor of 4632 and 4636 = 4
Step 1: Find the prime factorization of 4632
4632 = 2 x 2 x 2 x 3 x 193
Step 2: Find the prime factorization of 4636
4636 = 2 x 2 x 19 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 4632 and 4636 is 4