Greatest Common Factor of 1462 and 1470

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 1462, 1470 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1462 and 1470 is 2.

GCF(1462,1470) = 2

GCF of 1462 and 1470

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

GCF of:
and

Greatest Common Factor of 1462 and 1470

GCF of 1462 and 1470 is 2

Prime Factorization of 1462


2 1462
17 731
43 43
1

Prime factors of 1462 are 2,17,43. Prime factorization of 1462 in exponential form is:

1462 = 21×171×431

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

∴ So by taking common prime factors GCF of 1462 and 1470 is 2

Greatest Common Factor of 1462 and 1470 by matching factors method

Factors of 1462

List of positive integer factors of 1462 that divides 1462 without a remainder.

1,2,17,34,43,86,731,1462

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

Greatest Common Factor

We found the factors and prime factorization of 1462 and 1470. The biggest common factor number is the GCF number.
So the greatest common factor 1462 and 1470 is 2.

Also check out the Least Common Multiple of 1462 and 1470

Properties of GCF 1462 and 1470

(i) The GCF of 1462 and 1470 is associative

GCF of 1462 and 1470 = GCF of 1470 and 1462

Related Greatest Common Factor of 1462

Related Greatest Common Factor of 1470

Frequently Asked Questions on GCF of 1462 and 1470

1. What is the GCF of 1462 and 1470?

Answer: GCF of 1462 and 1470 is 2.

2. What are the Factors of 1462?

Answer: Factors of 1462 are 1, 2, 17, 34, 43, 86, 731, 1462. There are 8 integers that are factors of 1462. The greatest factor of 1462 is 1462.

3. 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.

4. How to Find the GCF of 1462 and 1470?

Answer:

Greatest Common Factor of 1462 and 1470 = 2

Step 1: Find the prime factorization of 1462

1462 = 2 x 17 x 43

Step 2: Find the prime factorization of 1470

1470 = 2 x 3 x 5 x 7 x 7

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 1462 and 1470 is 2