Greatest Common Factor of 4601 and 4609

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 4601, 4609 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4601 and 4609 is 1.

GCF(4601,4609) = 1

GCF of 4601 and 4609

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

GCF of:
and

Greatest Common Factor of 4601 and 4609

GCF of 4601 and 4609 is 1

Prime Factorization of 4601


43 4601
107 107
1

Prime factors of 4601 are 43,107. Prime factorization of 4601 in exponential form is:

4601 = 431×1071

Prime Factorization of 4609


11 4609
419 419
1

Prime factors of 4609 are 11,419. Prime factorization of 4609 in exponential form is:

4609 = 111×4191

∴ So by taking common prime factors GCF of 4601 and 4609 is 1

Greatest Common Factor of 4601 and 4609 by matching factors method

Factors of 4601

List of positive integer factors of 4601 that divides 4601 without a remainder.

1,43,107,4601

Factors of 4609

List of positive integer factors of 4609 that divides 4609 without a remainder.

1,11,419,4609

Greatest Common Factor

We found the factors and prime factorization of 4601 and 4609. The biggest common factor number is the GCF number.
So the greatest common factor 4601 and 4609 is 1.

Also check out the Least Common Multiple of 4601 and 4609

Properties of GCF 4601 and 4609

(i) The GCF of 4601 and 4609 is associative

GCF of 4601 and 4609 = GCF of 4609 and 4601

Related Greatest Common Factor of 4601

Related Greatest Common Factor of 4609

Frequently Asked Questions on GCF of 4601 and 4609

1. What is the GCF of 4601 and 4609?

Answer: GCF of 4601 and 4609 is 1.

2. What are the Factors of 4601?

Answer: Factors of 4601 are 1, 43, 107, 4601. There are 4 integers that are factors of 4601. The greatest factor of 4601 is 4601.

3. What are the Factors of 4609?

Answer: Factors of 4609 are 1, 11, 419, 4609. There are 4 integers that are factors of 4609. The greatest factor of 4609 is 4609.

4. How to Find the GCF of 4601 and 4609?

Answer:

Greatest Common Factor of 4601 and 4609 = 1

Step 1: Find the prime factorization of 4601

4601 = 43 x 107

Step 2: Find the prime factorization of 4609

4609 = 11 x 419

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 4601 and 4609 is 1