Greatest Common Factor of 1474 and 1482

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 1474, 1482 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1474 and 1482 is 2.

GCF(1474,1482) = 2

GCF of 1474 and 1482

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

GCF of:
and

Greatest Common Factor of 1474 and 1482

GCF of 1474 and 1482 is 2

Prime Factorization of 1474


2 1474
11 737
67 67
1

Prime factors of 1474 are 2,11,67. Prime factorization of 1474 in exponential form is:

1474 = 21×111×671

Prime Factorization of 1482


2 1482
3 741
13 247
19 19
1

Prime factors of 1482 are 2,3,13,19. Prime factorization of 1482 in exponential form is:

1482 = 21×31×131×191

∴ So by taking common prime factors GCF of 1474 and 1482 is 2

Greatest Common Factor of 1474 and 1482 by matching factors method

Factors of 1474

List of positive integer factors of 1474 that divides 1474 without a remainder.

1,2,11,22,67,134,737,1474

Factors of 1482

List of positive integer factors of 1482 that divides 1482 without a remainder.

1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482

Greatest Common Factor

We found the factors and prime factorization of 1474 and 1482. The biggest common factor number is the GCF number.
So the greatest common factor 1474 and 1482 is 2.

Also check out the Least Common Multiple of 1474 and 1482

Properties of GCF 1474 and 1482

(i) The GCF of 1474 and 1482 is associative

GCF of 1474 and 1482 = GCF of 1482 and 1474

Related Greatest Common Factor of 1474

Related Greatest Common Factor of 1482

Frequently Asked Questions on GCF of 1474 and 1482

1. What is the GCF of 1474 and 1482?

Answer: GCF of 1474 and 1482 is 2.

2. What are the Factors of 1474?

Answer: Factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474. There are 8 integers that are factors of 1474. The greatest factor of 1474 is 1474.

3. What are the Factors of 1482?

Answer: Factors of 1482 are 1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 494, 741, 1482. There are 16 integers that are factors of 1482. The greatest factor of 1482 is 1482.

4. How to Find the GCF of 1474 and 1482?

Answer:

Greatest Common Factor of 1474 and 1482 = 2

Step 1: Find the prime factorization of 1474

1474 = 2 x 11 x 67

Step 2: Find the prime factorization of 1482

1482 = 2 x 3 x 13 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 1474 and 1482 is 2