Greatest Common Factor of 8424 and 8425

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 8424, 8425 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8424 and 8425 is 1.

GCF(8424,8425) = 1

GCF of 8424 and 8425

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

GCF of:
and

Greatest Common Factor of 8424 and 8425

GCF of 8424 and 8425 is 1

Prime Factorization of 8424


2 8424
2 4212
2 2106
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 8424 are 2,3,13. Prime factorization of 8424 in exponential form is:

8424 = 23×34×131

Prime Factorization of 8425


5 8425
5 1685
337 337
1

Prime factors of 8425 are 5,337. Prime factorization of 8425 in exponential form is:

8425 = 52×3371

∴ So by taking common prime factors GCF of 8424 and 8425 is 1

Greatest Common Factor of 8424 and 8425 by matching factors method

Factors of 8424

List of positive integer factors of 8424 that divides 8424 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424

Factors of 8425

List of positive integer factors of 8425 that divides 8425 without a remainder.

1,5,25,337,1685,8425

Greatest Common Factor

We found the factors and prime factorization of 8424 and 8425. The biggest common factor number is the GCF number.
So the greatest common factor 8424 and 8425 is 1.

Also check out the Least Common Multiple of 8424 and 8425

Properties of GCF 8424 and 8425

(i) The GCF of 8424 and 8425 is associative

GCF of 8424 and 8425 = GCF of 8425 and 8424

Related Greatest Common Factor of 8424

Related Greatest Common Factor of 8425

Frequently Asked Questions on GCF of 8424 and 8425

1. What is the GCF of 8424 and 8425?

Answer: GCF of 8424 and 8425 is 1.

2. What are the Factors of 8424?

Answer: Factors of 8424 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 312, 324, 351, 468, 648, 702, 936, 1053, 1404, 2106, 2808, 4212, 8424. There are 40 integers that are factors of 8424. The greatest factor of 8424 is 8424.

3. What are the Factors of 8425?

Answer: Factors of 8425 are 1, 5, 25, 337, 1685, 8425. There are 6 integers that are factors of 8425. The greatest factor of 8425 is 8425.

4. How to Find the GCF of 8424 and 8425?

Answer:

Greatest Common Factor of 8424 and 8425 = 1

Step 1: Find the prime factorization of 8424

8424 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 8425

8425 = 5 x 5 x 337

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8424 and 8425 is 1