Greatest Common Factor of 4628 and 4633

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 4628, 4633 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4628 and 4633 is 1.

GCF(4628,4633) = 1

GCF of 4628 and 4633

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4628 and 4633

GCF of 4628 and 4633 is 1

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

Prime Factorization of 4633


41 4633
113 113
1

Prime factors of 4633 are 41,113. Prime factorization of 4633 in exponential form is:

4633 = 411×1131

∴ So by taking common prime factors GCF of 4628 and 4633 is 1

Greatest Common Factor of 4628 and 4633 by matching factors method

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

Factors of 4633

List of positive integer factors of 4633 that divides 4633 without a remainder.

1,41,113,4633

Greatest Common Factor

We found the factors and prime factorization of 4628 and 4633. The biggest common factor number is the GCF number.
So the greatest common factor 4628 and 4633 is 1.

Also check out the Least Common Multiple of 4628 and 4633

Properties of GCF 4628 and 4633

(i) The GCF of 4628 and 4633 is associative

GCF of 4628 and 4633 = GCF of 4633 and 4628

Related Greatest Common Factor of 4628

Related Greatest Common Factor of 4633

Frequently Asked Questions on GCF of 4628 and 4633

1. What is the GCF of 4628 and 4633?

Answer: GCF of 4628 and 4633 is 1.

2. 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.

3. What are the Factors of 4633?

Answer: Factors of 4633 are 1, 41, 113, 4633. There are 4 integers that are factors of 4633. The greatest factor of 4633 is 4633.

4. How to Find the GCF of 4628 and 4633?

Answer:

Greatest Common Factor of 4628 and 4633 = 1

Step 1: Find the prime factorization of 4628

4628 = 2 x 2 x 13 x 89

Step 2: Find the prime factorization of 4633

4633 = 41 x 113

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 4628 and 4633 is 1