Greatest Common Factor of 474 and 479

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 474, 479 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 474 and 479 is 1.

GCF(474,479) = 1

GCF of 474 and 479

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

GCF of:
and

Greatest Common Factor of 474 and 479

GCF of 474 and 479 is 1

Prime Factorization of 474


2 474
3 237
79 79
1

Prime factors of 474 are 2,3,79. Prime factorization of 474 in exponential form is:

474 = 21×31×791

Prime Factorization of 479


479 479
1

Prime factors of 479 are 479. Prime factorization of 479 in exponential form is:

479 = 4791

∴ So by taking common prime factors GCF of 474 and 479 is 1

Greatest Common Factor of 474 and 479 by matching factors method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Greatest Common Factor

We found the factors and prime factorization of 474 and 479. The biggest common factor number is the GCF number.
So the greatest common factor 474 and 479 is 1.

Also check out the Least Common Multiple of 474 and 479

Properties of GCF 474 and 479

(i) The GCF of 474 and 479 is associative

GCF of 474 and 479 = GCF of 479 and 474

Related Greatest Common Factor of 474

Related Greatest Common Factor of 479

Frequently Asked Questions on GCF of 474 and 479

1. What is the GCF of 474 and 479?

Answer: GCF of 474 and 479 is 1.

2. What are the Factors of 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

3. What are the Factors of 479?

Answer: Factors of 479 are 1, 479. There are 2 integers that are factors of 479. The greatest factor of 479 is 479.

4. How to Find the GCF of 474 and 479?

Answer:

Greatest Common Factor of 474 and 479 = 1

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

Step 2: Find the prime factorization of 479

479 = 479

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 474 and 479 is 1