Greatest Common Factor of 6424 and 6425

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 6424, 6425 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6424 and 6425 is 1.

GCF(6424,6425) = 1

GCF of 6424 and 6425

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

GCF of:
and

Greatest Common Factor of 6424 and 6425

GCF of 6424 and 6425 is 1

Prime Factorization of 6424


2 6424
2 3212
2 1606
11 803
73 73
1

Prime factors of 6424 are 2,11,73. Prime factorization of 6424 in exponential form is:

6424 = 23×111×731

Prime Factorization of 6425


5 6425
5 1285
257 257
1

Prime factors of 6425 are 5,257. Prime factorization of 6425 in exponential form is:

6425 = 52×2571

∴ So by taking common prime factors GCF of 6424 and 6425 is 1

Greatest Common Factor of 6424 and 6425 by matching factors method

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424

Factors of 6425

List of positive integer factors of 6425 that divides 6425 without a remainder.

1,5,25,257,1285,6425

Greatest Common Factor

We found the factors and prime factorization of 6424 and 6425. The biggest common factor number is the GCF number.
So the greatest common factor 6424 and 6425 is 1.

Also check out the Least Common Multiple of 6424 and 6425

Properties of GCF 6424 and 6425

(i) The GCF of 6424 and 6425 is associative

GCF of 6424 and 6425 = GCF of 6425 and 6424

Frequently Asked Questions on GCF of 6424 and 6425

1. What is the GCF of 6424 and 6425?

Answer: GCF of 6424 and 6425 is 1.

2. What are the Factors of 6424?

Answer: Factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424. There are 16 integers that are factors of 6424. The greatest factor of 6424 is 6424.

3. What are the Factors of 6425?

Answer: Factors of 6425 are 1, 5, 25, 257, 1285, 6425. There are 6 integers that are factors of 6425. The greatest factor of 6425 is 6425.

4. How to Find the GCF of 6424 and 6425?

Answer:

Greatest Common Factor of 6424 and 6425 = 1

Step 1: Find the prime factorization of 6424

6424 = 2 x 2 x 2 x 11 x 73

Step 2: Find the prime factorization of 6425

6425 = 5 x 5 x 257

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 6424 and 6425 is 1