Greatest Common Factor of 4629 and 4637

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 4629, 4637 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4629 and 4637 is 1.

GCF(4629,4637) = 1

GCF of 4629 and 4637

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

GCF of:
and

Greatest Common Factor of 4629 and 4637

GCF of 4629 and 4637 is 1

Prime Factorization of 4629


3 4629
1543 1543
1

Prime factors of 4629 are 3,1543. Prime factorization of 4629 in exponential form is:

4629 = 31×15431

Prime Factorization of 4637


4637 4637
1

Prime factors of 4637 are 4637. Prime factorization of 4637 in exponential form is:

4637 = 46371

∴ So by taking common prime factors GCF of 4629 and 4637 is 1

Greatest Common Factor of 4629 and 4637 by matching factors method

Factors of 4629

List of positive integer factors of 4629 that divides 4629 without a remainder.

1,3,1543,4629

Factors of 4637

List of positive integer factors of 4637 that divides 4637 without a remainder.

1,4637

Greatest Common Factor

We found the factors and prime factorization of 4629 and 4637. The biggest common factor number is the GCF number.
So the greatest common factor 4629 and 4637 is 1.

Also check out the Least Common Multiple of 4629 and 4637

Properties of GCF 4629 and 4637

(i) The GCF of 4629 and 4637 is associative

GCF of 4629 and 4637 = GCF of 4637 and 4629

Related Greatest Common Factor of 4629

Related Greatest Common Factor of 4637

Frequently Asked Questions on GCF of 4629 and 4637

1. What is the GCF of 4629 and 4637?

Answer: GCF of 4629 and 4637 is 1.

2. What are the Factors of 4629?

Answer: Factors of 4629 are 1, 3, 1543, 4629. There are 4 integers that are factors of 4629. The greatest factor of 4629 is 4629.

3. What are the Factors of 4637?

Answer: Factors of 4637 are 1, 4637. There are 2 integers that are factors of 4637. The greatest factor of 4637 is 4637.

4. How to Find the GCF of 4629 and 4637?

Answer:

Greatest Common Factor of 4629 and 4637 = 1

Step 1: Find the prime factorization of 4629

4629 = 3 x 1543

Step 2: Find the prime factorization of 4637

4637 = 4637

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 4629 and 4637 is 1