Greatest Common Factor of 4428 and 4435

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 4428, 4435 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4428 and 4435 is 1.

GCF(4428,4435) = 1

GCF of 4428 and 4435

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

GCF of:
and

Greatest Common Factor of 4428 and 4435

GCF of 4428 and 4435 is 1

Prime Factorization of 4428


2 4428
2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 4428 are 2,3,41. Prime factorization of 4428 in exponential form is:

4428 = 22×33×411

Prime Factorization of 4435


5 4435
887 887
1

Prime factors of 4435 are 5,887. Prime factorization of 4435 in exponential form is:

4435 = 51×8871

∴ So by taking common prime factors GCF of 4428 and 4435 is 1

Greatest Common Factor of 4428 and 4435 by matching factors method

Factors of 4428

List of positive integer factors of 4428 that divides 4428 without a remainder.

1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428

Factors of 4435

List of positive integer factors of 4435 that divides 4435 without a remainder.

1,5,887,4435

Greatest Common Factor

We found the factors and prime factorization of 4428 and 4435. The biggest common factor number is the GCF number.
So the greatest common factor 4428 and 4435 is 1.

Also check out the Least Common Multiple of 4428 and 4435

Properties of GCF 4428 and 4435

(i) The GCF of 4428 and 4435 is associative

GCF of 4428 and 4435 = GCF of 4435 and 4428

Related Greatest Common Factor of 4428

Related Greatest Common Factor of 4435

Frequently Asked Questions on GCF of 4428 and 4435

1. What is the GCF of 4428 and 4435?

Answer: GCF of 4428 and 4435 is 1.

2. What are the Factors of 4428?

Answer: Factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428. There are 24 integers that are factors of 4428. The greatest factor of 4428 is 4428.

3. What are the Factors of 4435?

Answer: Factors of 4435 are 1, 5, 887, 4435. There are 4 integers that are factors of 4435. The greatest factor of 4435 is 4435.

4. How to Find the GCF of 4428 and 4435?

Answer:

Greatest Common Factor of 4428 and 4435 = 1

Step 1: Find the prime factorization of 4428

4428 = 2 x 2 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 4435

4435 = 5 x 887

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 4428 and 4435 is 1