Greatest Common Factor of 1474 and 1478

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, 1478 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1474 and 1478 is 2.

GCF(1474,1478) = 2

GCF of 1474 and 1478

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

GCF of:
and

Greatest Common Factor of 1474 and 1478

GCF of 1474 and 1478 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 1478


2 1478
739 739
1

Prime factors of 1478 are 2,739. Prime factorization of 1478 in exponential form is:

1478 = 21×7391

∴ So by taking common prime factors GCF of 1474 and 1478 is 2

Greatest Common Factor of 1474 and 1478 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 1478

List of positive integer factors of 1478 that divides 1478 without a remainder.

1,2,739,1478

Greatest Common Factor

We found the factors and prime factorization of 1474 and 1478. The biggest common factor number is the GCF number.
So the greatest common factor 1474 and 1478 is 2.

Also check out the Least Common Multiple of 1474 and 1478

Properties of GCF 1474 and 1478

(i) The GCF of 1474 and 1478 is associative

GCF of 1474 and 1478 = GCF of 1478 and 1474

Related Greatest Common Factor of 1474

Related Greatest Common Factor of 1478

Frequently Asked Questions on GCF of 1474 and 1478

1. What is the GCF of 1474 and 1478?

Answer: GCF of 1474 and 1478 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 1478?

Answer: Factors of 1478 are 1, 2, 739, 1478. There are 4 integers that are factors of 1478. The greatest factor of 1478 is 1478.

4. How to Find the GCF of 1474 and 1478?

Answer:

Greatest Common Factor of 1474 and 1478 = 2

Step 1: Find the prime factorization of 1474

1474 = 2 x 11 x 67

Step 2: Find the prime factorization of 1478

1478 = 2 x 739

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 1478 is 2