Greatest Common Factor of 4757 and 4764

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 4757, 4764 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4757 and 4764 is 1.

GCF(4757,4764) = 1

GCF of 4757 and 4764

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

GCF of:
and

Greatest Common Factor of 4757 and 4764

GCF of 4757 and 4764 is 1

Prime Factorization of 4757


67 4757
71 71
1

Prime factors of 4757 are 67,71. Prime factorization of 4757 in exponential form is:

4757 = 671×711

Prime Factorization of 4764


2 4764
2 2382
3 1191
397 397
1

Prime factors of 4764 are 2,3,397. Prime factorization of 4764 in exponential form is:

4764 = 22×31×3971

∴ So by taking common prime factors GCF of 4757 and 4764 is 1

Greatest Common Factor of 4757 and 4764 by matching factors method

Factors of 4757

List of positive integer factors of 4757 that divides 4757 without a remainder.

1,67,71,4757

Factors of 4764

List of positive integer factors of 4764 that divides 4764 without a remainder.

1,2,3,4,6,12,397,794,1191,1588,2382,4764

Greatest Common Factor

We found the factors and prime factorization of 4757 and 4764. The biggest common factor number is the GCF number.
So the greatest common factor 4757 and 4764 is 1.

Also check out the Least Common Multiple of 4757 and 4764

Properties of GCF 4757 and 4764

(i) The GCF of 4757 and 4764 is associative

GCF of 4757 and 4764 = GCF of 4764 and 4757

Related Greatest Common Factor of 4757

Related Greatest Common Factor of 4764

Frequently Asked Questions on GCF of 4757 and 4764

1. What is the GCF of 4757 and 4764?

Answer: GCF of 4757 and 4764 is 1.

2. What are the Factors of 4757?

Answer: Factors of 4757 are 1, 67, 71, 4757. There are 4 integers that are factors of 4757. The greatest factor of 4757 is 4757.

3. What are the Factors of 4764?

Answer: Factors of 4764 are 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764. There are 12 integers that are factors of 4764. The greatest factor of 4764 is 4764.

4. How to Find the GCF of 4757 and 4764?

Answer:

Greatest Common Factor of 4757 and 4764 = 1

Step 1: Find the prime factorization of 4757

4757 = 67 x 71

Step 2: Find the prime factorization of 4764

4764 = 2 x 2 x 3 x 397

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 4757 and 4764 is 1