Greatest Common Factor of 4905 and 4907

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 4905, 4907 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4905 and 4907 is 1.

GCF(4905,4907) = 1

GCF of 4905 and 4907

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

GCF of:
and

Greatest Common Factor of 4905 and 4907

GCF of 4905 and 4907 is 1

Prime Factorization of 4905


3 4905
3 1635
5 545
109 109
1

Prime factors of 4905 are 3,5,109. Prime factorization of 4905 in exponential form is:

4905 = 32×51×1091

Prime Factorization of 4907


7 4907
701 701
1

Prime factors of 4907 are 7,701. Prime factorization of 4907 in exponential form is:

4907 = 71×7011

∴ So by taking common prime factors GCF of 4905 and 4907 is 1

Greatest Common Factor of 4905 and 4907 by matching factors method

Factors of 4905

List of positive integer factors of 4905 that divides 4905 without a remainder.

1,3,5,9,15,45,109,327,545,981,1635,4905

Factors of 4907

List of positive integer factors of 4907 that divides 4907 without a remainder.

1,7,701,4907

Greatest Common Factor

We found the factors and prime factorization of 4905 and 4907. The biggest common factor number is the GCF number.
So the greatest common factor 4905 and 4907 is 1.

Also check out the Least Common Multiple of 4905 and 4907

Properties of GCF 4905 and 4907

(i) The GCF of 4905 and 4907 is associative

GCF of 4905 and 4907 = GCF of 4907 and 4905

Related Greatest Common Factor of 4905

Related Greatest Common Factor of 4907

Frequently Asked Questions on GCF of 4905 and 4907

1. What is the GCF of 4905 and 4907?

Answer: GCF of 4905 and 4907 is 1.

2. What are the Factors of 4905?

Answer: Factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905. There are 12 integers that are factors of 4905. The greatest factor of 4905 is 4905.

3. What are the Factors of 4907?

Answer: Factors of 4907 are 1, 7, 701, 4907. There are 4 integers that are factors of 4907. The greatest factor of 4907 is 4907.

4. How to Find the GCF of 4905 and 4907?

Answer:

Greatest Common Factor of 4905 and 4907 = 1

Step 1: Find the prime factorization of 4905

4905 = 3 x 3 x 5 x 109

Step 2: Find the prime factorization of 4907

4907 = 7 x 701

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 4905 and 4907 is 1