Greatest Common Factor of 1470 and 1474

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 1470, 1474 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1470 and 1474 is 2.

GCF(1470,1474) = 2

GCF of 1470 and 1474

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

GCF of:
and

Greatest Common Factor of 1470 and 1474

GCF of 1470 and 1474 is 2

Prime Factorization of 1470


2 1470
3 735
5 245
7 49
7 7
1

Prime factors of 1470 are 2,3,5,7. Prime factorization of 1470 in exponential form is:

1470 = 21×31×51×72

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

∴ So by taking common prime factors GCF of 1470 and 1474 is 2

Greatest Common Factor of 1470 and 1474 by matching factors method

Factors of 1470

List of positive integer factors of 1470 that divides 1470 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470

Factors of 1474

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

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

Greatest Common Factor

We found the factors and prime factorization of 1470 and 1474. The biggest common factor number is the GCF number.
So the greatest common factor 1470 and 1474 is 2.

Also check out the Least Common Multiple of 1470 and 1474

Properties of GCF 1470 and 1474

(i) The GCF of 1470 and 1474 is associative

GCF of 1470 and 1474 = GCF of 1474 and 1470

Related Greatest Common Factor of 1470

Related Greatest Common Factor of 1474

Frequently Asked Questions on GCF of 1470 and 1474

1. What is the GCF of 1470 and 1474?

Answer: GCF of 1470 and 1474 is 2.

2. What are the Factors of 1470?

Answer: Factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470. There are 24 integers that are factors of 1470. The greatest factor of 1470 is 1470.

3. 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.

4. How to Find the GCF of 1470 and 1474?

Answer:

Greatest Common Factor of 1470 and 1474 = 2

Step 1: Find the prime factorization of 1470

1470 = 2 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 1474

1474 = 2 x 11 x 67

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 1470 and 1474 is 2