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 4652, 4654 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4652 and 4654 is 2.
GCF(4652,4654) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4652
2 | 4652 |
2 | 2326 |
1163 | 1163 |
1 |
Prime factors of 4652 are 2,1163. Prime factorization of 4652 in exponential form is:
4652 = 22×11631
Prime Factorization of 4654
2 | 4654 |
13 | 2327 |
179 | 179 |
1 |
Prime factors of 4654 are 2,13,179. Prime factorization of 4654 in exponential form is:
4654 = 21×131×1791
∴ So by taking common prime factors GCF of 4652 and 4654 is 2
Factors of 4652
List of positive integer factors of 4652 that divides 4652 without a remainder.
1,2,4,1163,2326,4652
Factors of 4654
List of positive integer factors of 4654 that divides 4654 without a remainder.
1,2,13,26,179,358,2327,4654
Greatest Common Factor
We found the factors and prime factorization of 4652 and 4654. The biggest common factor number is the GCF number.
So the greatest common factor 4652 and 4654 is 2.
Also check out the Least Common Multiple of 4652 and 4654
(i) The GCF of 4652 and 4654 is associative
GCF of 4652 and 4654 = GCF of 4654 and 4652
1. What is the GCF of 4652 and 4654?
Answer: GCF of 4652 and 4654 is 2.
2. What are the Factors of 4652?
Answer: Factors of 4652 are 1, 2, 4, 1163, 2326, 4652. There are 6 integers that are factors of 4652. The greatest factor of 4652 is 4652.
3. What are the Factors of 4654?
Answer: Factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654. There are 8 integers that are factors of 4654. The greatest factor of 4654 is 4654.
4. How to Find the GCF of 4652 and 4654?
Answer:
Greatest Common Factor of 4652 and 4654 = 2
Step 1: Find the prime factorization of 4652
4652 = 2 x 2 x 1163
Step 2: Find the prime factorization of 4654
4654 = 2 x 13 x 179
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 4652 and 4654 is 2