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 4625, 4628 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4625 and 4628 is 1.
GCF(4625,4628) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4625
5 | 4625 |
5 | 925 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 4625 are 5,37. Prime factorization of 4625 in exponential form is:
4625 = 53×371
Prime Factorization of 4628
2 | 4628 |
2 | 2314 |
13 | 1157 |
89 | 89 |
1 |
Prime factors of 4628 are 2,13,89. Prime factorization of 4628 in exponential form is:
4628 = 22×131×891
∴ So by taking common prime factors GCF of 4625 and 4628 is 1
Factors of 4625
List of positive integer factors of 4625 that divides 4625 without a remainder.
1,5,25,37,125,185,925,4625
Factors of 4628
List of positive integer factors of 4628 that divides 4628 without a remainder.
1,2,4,13,26,52,89,178,356,1157,2314,4628
Greatest Common Factor
We found the factors and prime factorization of 4625 and 4628. The biggest common factor number is the GCF number.
So the greatest common factor 4625 and 4628 is 1.
Also check out the Least Common Multiple of 4625 and 4628
(i) The GCF of 4625 and 4628 is associative
GCF of 4625 and 4628 = GCF of 4628 and 4625
1. What is the GCF of 4625 and 4628?
Answer: GCF of 4625 and 4628 is 1.
2. What are the Factors of 4625?
Answer: Factors of 4625 are 1, 5, 25, 37, 125, 185, 925, 4625. There are 8 integers that are factors of 4625. The greatest factor of 4625 is 4625.
3. What are the Factors of 4628?
Answer: Factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628. There are 12 integers that are factors of 4628. The greatest factor of 4628 is 4628.
4. How to Find the GCF of 4625 and 4628?
Answer:
Greatest Common Factor of 4625 and 4628 = 1
Step 1: Find the prime factorization of 4625
4625 = 5 x 5 x 5 x 37
Step 2: Find the prime factorization of 4628
4628 = 2 x 2 x 13 x 89
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 4625 and 4628 is 1