Greatest Common Factor of 4897 and 4904

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 4897, 4904 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4897 and 4904 is 1.

GCF(4897,4904) = 1

GCF of 4897 and 4904

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

GCF of:
and

Greatest Common Factor of 4897 and 4904

GCF of 4897 and 4904 is 1

Prime Factorization of 4897


59 4897
83 83
1

Prime factors of 4897 are 59,83. Prime factorization of 4897 in exponential form is:

4897 = 591×831

Prime Factorization of 4904


2 4904
2 2452
2 1226
613 613
1

Prime factors of 4904 are 2,613. Prime factorization of 4904 in exponential form is:

4904 = 23×6131

∴ So by taking common prime factors GCF of 4897 and 4904 is 1

Greatest Common Factor of 4897 and 4904 by matching factors method

Factors of 4897

List of positive integer factors of 4897 that divides 4897 without a remainder.

1,59,83,4897

Factors of 4904

List of positive integer factors of 4904 that divides 4904 without a remainder.

1,2,4,8,613,1226,2452,4904

Greatest Common Factor

We found the factors and prime factorization of 4897 and 4904. The biggest common factor number is the GCF number.
So the greatest common factor 4897 and 4904 is 1.

Also check out the Least Common Multiple of 4897 and 4904

Properties of GCF 4897 and 4904

(i) The GCF of 4897 and 4904 is associative

GCF of 4897 and 4904 = GCF of 4904 and 4897

Related Greatest Common Factor of 4897

Related Greatest Common Factor of 4904

Frequently Asked Questions on GCF of 4897 and 4904

1. What is the GCF of 4897 and 4904?

Answer: GCF of 4897 and 4904 is 1.

2. What are the Factors of 4897?

Answer: Factors of 4897 are 1, 59, 83, 4897. There are 4 integers that are factors of 4897. The greatest factor of 4897 is 4897.

3. What are the Factors of 4904?

Answer: Factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904. There are 8 integers that are factors of 4904. The greatest factor of 4904 is 4904.

4. How to Find the GCF of 4897 and 4904?

Answer:

Greatest Common Factor of 4897 and 4904 = 1

Step 1: Find the prime factorization of 4897

4897 = 59 x 83

Step 2: Find the prime factorization of 4904

4904 = 2 x 2 x 2 x 613

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 4897 and 4904 is 1