Greatest Common Factor of 9462 and 9470

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 9462, 9470 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9462 and 9470 is 2.

GCF(9462,9470) = 2

GCF of 9462 and 9470

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

GCF of:
and

Greatest Common Factor of 9462 and 9470

GCF of 9462 and 9470 is 2

Prime Factorization of 9462


2 9462
3 4731
19 1577
83 83
1

Prime factors of 9462 are 2,3,19,83. Prime factorization of 9462 in exponential form is:

9462 = 21×31×191×831

Prime Factorization of 9470


2 9470
5 4735
947 947
1

Prime factors of 9470 are 2,5,947. Prime factorization of 9470 in exponential form is:

9470 = 21×51×9471

∴ So by taking common prime factors GCF of 9462 and 9470 is 2

Greatest Common Factor of 9462 and 9470 by matching factors method

Factors of 9462

List of positive integer factors of 9462 that divides 9462 without a remainder.

1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462

Factors of 9470

List of positive integer factors of 9470 that divides 9470 without a remainder.

1,2,5,10,947,1894,4735,9470

Greatest Common Factor

We found the factors and prime factorization of 9462 and 9470. The biggest common factor number is the GCF number.
So the greatest common factor 9462 and 9470 is 2.

Also check out the Least Common Multiple of 9462 and 9470

Properties of GCF 9462 and 9470

(i) The GCF of 9462 and 9470 is associative

GCF of 9462 and 9470 = GCF of 9470 and 9462

Related Greatest Common Factor of 9462

Related Greatest Common Factor of 9470

Frequently Asked Questions on GCF of 9462 and 9470

1. What is the GCF of 9462 and 9470?

Answer: GCF of 9462 and 9470 is 2.

2. What are the Factors of 9462?

Answer: Factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462. There are 16 integers that are factors of 9462. The greatest factor of 9462 is 9462.

3. What are the Factors of 9470?

Answer: Factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470. There are 8 integers that are factors of 9470. The greatest factor of 9470 is 9470.

4. How to Find the GCF of 9462 and 9470?

Answer:

Greatest Common Factor of 9462 and 9470 = 2

Step 1: Find the prime factorization of 9462

9462 = 2 x 3 x 19 x 83

Step 2: Find the prime factorization of 9470

9470 = 2 x 5 x 947

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 9462 and 9470 is 2