Greatest Common Factor of 2428 and 2435

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 2428, 2435 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2428 and 2435 is 1.

GCF(2428,2435) = 1

GCF of 2428 and 2435

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

GCF of:
and

Greatest Common Factor of 2428 and 2435

GCF of 2428 and 2435 is 1

Prime Factorization of 2428


2 2428
2 1214
607 607
1

Prime factors of 2428 are 2,607. Prime factorization of 2428 in exponential form is:

2428 = 22×6071

Prime Factorization of 2435


5 2435
487 487
1

Prime factors of 2435 are 5,487. Prime factorization of 2435 in exponential form is:

2435 = 51×4871

∴ So by taking common prime factors GCF of 2428 and 2435 is 1

Greatest Common Factor of 2428 and 2435 by matching factors method

Factors of 2428

List of positive integer factors of 2428 that divides 2428 without a remainder.

1,2,4,607,1214,2428

Factors of 2435

List of positive integer factors of 2435 that divides 2435 without a remainder.

1,5,487,2435

Greatest Common Factor

We found the factors and prime factorization of 2428 and 2435. The biggest common factor number is the GCF number.
So the greatest common factor 2428 and 2435 is 1.

Also check out the Least Common Multiple of 2428 and 2435

Properties of GCF 2428 and 2435

(i) The GCF of 2428 and 2435 is associative

GCF of 2428 and 2435 = GCF of 2435 and 2428

Related Greatest Common Factor of 2428

Related Greatest Common Factor of 2435

Frequently Asked Questions on GCF of 2428 and 2435

1. What is the GCF of 2428 and 2435?

Answer: GCF of 2428 and 2435 is 1.

2. What are the Factors of 2428?

Answer: Factors of 2428 are 1, 2, 4, 607, 1214, 2428. There are 6 integers that are factors of 2428. The greatest factor of 2428 is 2428.

3. What are the Factors of 2435?

Answer: Factors of 2435 are 1, 5, 487, 2435. There are 4 integers that are factors of 2435. The greatest factor of 2435 is 2435.

4. How to Find the GCF of 2428 and 2435?

Answer:

Greatest Common Factor of 2428 and 2435 = 1

Step 1: Find the prime factorization of 2428

2428 = 2 x 2 x 607

Step 2: Find the prime factorization of 2435

2435 = 5 x 487

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 2428 and 2435 is 1