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 8628, 8636 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8628 and 8636 is 4.
GCF(8628,8636) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8628
2 | 8628 |
2 | 4314 |
3 | 2157 |
719 | 719 |
1 |
Prime factors of 8628 are 2,3,719. Prime factorization of 8628 in exponential form is:
8628 = 22×31×7191
Prime Factorization of 8636
2 | 8636 |
2 | 4318 |
17 | 2159 |
127 | 127 |
1 |
Prime factors of 8636 are 2,17,127. Prime factorization of 8636 in exponential form is:
8636 = 22×171×1271
∴ So by taking common prime factors GCF of 8628 and 8636 is 4
Factors of 8628
List of positive integer factors of 8628 that divides 8628 without a remainder.
1,2,3,4,6,12,719,1438,2157,2876,4314,8628
Factors of 8636
List of positive integer factors of 8636 that divides 8636 without a remainder.
1,2,4,17,34,68,127,254,508,2159,4318,8636
Greatest Common Factor
We found the factors and prime factorization of 8628 and 8636. The biggest common factor number is the GCF number.
So the greatest common factor 8628 and 8636 is 4.
Also check out the Least Common Multiple of 8628 and 8636
(i) The GCF of 8628 and 8636 is associative
GCF of 8628 and 8636 = GCF of 8636 and 8628
1. What is the GCF of 8628 and 8636?
Answer: GCF of 8628 and 8636 is 4.
2. What are the Factors of 8628?
Answer: Factors of 8628 are 1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628. There are 12 integers that are factors of 8628. The greatest factor of 8628 is 8628.
3. What are the Factors of 8636?
Answer: Factors of 8636 are 1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636. There are 12 integers that are factors of 8636. The greatest factor of 8636 is 8636.
4. How to Find the GCF of 8628 and 8636?
Answer:
Greatest Common Factor of 8628 and 8636 = 4
Step 1: Find the prime factorization of 8628
8628 = 2 x 2 x 3 x 719
Step 2: Find the prime factorization of 8636
8636 = 2 x 2 x 17 x 127
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 8628 and 8636 is 4