Greatest Common Factor of 21470 and 21475

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 21470, 21475 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21470 and 21475 is 5.

GCF(21470,21475) = 5

GCF of 21470 and 21475

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

GCF of:
and

Greatest Common Factor of 21470 and 21475

GCF of 21470 and 21475 is 5

Prime Factorization of 21470


2 21470
5 10735
19 2147
113 113
1

Prime factors of 21470 are 2,5,19,113. Prime factorization of 21470 in exponential form is:

21470 = 21×51×191×1131

Prime Factorization of 21475


5 21475
5 4295
859 859
1

Prime factors of 21475 are 5,859. Prime factorization of 21475 in exponential form is:

21475 = 52×8591

∴ So by taking common prime factors GCF of 21470 and 21475 is 5

Greatest Common Factor of 21470 and 21475 by matching factors method

Factors of 21470

List of positive integer factors of 21470 that divides 21470 without a remainder.

1,2,5,10,19,38,95,113,190,226,565,1130,2147,4294,10735,21470

Factors of 21475

List of positive integer factors of 21475 that divides 21475 without a remainder.

1,5,25,859,4295,21475

Greatest Common Factor

We found the factors and prime factorization of 21470 and 21475. The biggest common factor number is the GCF number.
So the greatest common factor 21470 and 21475 is 5.

Also check out the Least Common Multiple of 21470 and 21475

Properties of GCF 21470 and 21475

(i) The GCF of 21470 and 21475 is associative

GCF of 21470 and 21475 = GCF of 21475 and 21470

Related Greatest Common Factor of 21470

Related Greatest Common Factor of 21475

Frequently Asked Questions on GCF of 21470 and 21475

1. What is the GCF of 21470 and 21475?

Answer: GCF of 21470 and 21475 is 5.

2. What are the Factors of 21470?

Answer: Factors of 21470 are 1, 2, 5, 10, 19, 38, 95, 113, 190, 226, 565, 1130, 2147, 4294, 10735, 21470. There are 16 integers that are factors of 21470. The greatest factor of 21470 is 21470.

3. What are the Factors of 21475?

Answer: Factors of 21475 are 1, 5, 25, 859, 4295, 21475. There are 6 integers that are factors of 21475. The greatest factor of 21475 is 21475.

4. How to Find the GCF of 21470 and 21475?

Answer:

Greatest Common Factor of 21470 and 21475 = 5

Step 1: Find the prime factorization of 21470

21470 = 2 x 5 x 19 x 113

Step 2: Find the prime factorization of 21475

21475 = 5 x 5 x 859

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

GCF = 5

Step 4: Therefore, the greatest common factor of 21470 and 21475 is 5