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 4612, 4616 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4612 and 4616 is 4.
GCF(4612,4616) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4612
2 | 4612 |
2 | 2306 |
1153 | 1153 |
1 |
Prime factors of 4612 are 2,1153. Prime factorization of 4612 in exponential form is:
4612 = 22×11531
Prime Factorization of 4616
2 | 4616 |
2 | 2308 |
2 | 1154 |
577 | 577 |
1 |
Prime factors of 4616 are 2,577. Prime factorization of 4616 in exponential form is:
4616 = 23×5771
∴ So by taking common prime factors GCF of 4612 and 4616 is 4
Factors of 4612
List of positive integer factors of 4612 that divides 4612 without a remainder.
1,2,4,1153,2306,4612
Factors of 4616
List of positive integer factors of 4616 that divides 4616 without a remainder.
1,2,4,8,577,1154,2308,4616
Greatest Common Factor
We found the factors and prime factorization of 4612 and 4616. The biggest common factor number is the GCF number.
So the greatest common factor 4612 and 4616 is 4.
Also check out the Least Common Multiple of 4612 and 4616
(i) The GCF of 4612 and 4616 is associative
GCF of 4612 and 4616 = GCF of 4616 and 4612
1. What is the GCF of 4612 and 4616?
Answer: GCF of 4612 and 4616 is 4.
2. What are the Factors of 4612?
Answer: Factors of 4612 are 1, 2, 4, 1153, 2306, 4612. There are 6 integers that are factors of 4612. The greatest factor of 4612 is 4612.
3. What are the Factors of 4616?
Answer: Factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616. There are 8 integers that are factors of 4616. The greatest factor of 4616 is 4616.
4. How to Find the GCF of 4612 and 4616?
Answer:
Greatest Common Factor of 4612 and 4616 = 4
Step 1: Find the prime factorization of 4612
4612 = 2 x 2 x 1153
Step 2: Find the prime factorization of 4616
4616 = 2 x 2 x 2 x 577
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 4612 and 4616 is 4