Greatest Common Factor of 1424 and 1432

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 1424, 1432 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1424 and 1432 is 8.

GCF(1424,1432) = 8

GCF of 1424 and 1432

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

GCF of:
and

Greatest Common Factor of 1424 and 1432

GCF of 1424 and 1432 is 8

Prime Factorization of 1424


2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 1424 are 2,89. Prime factorization of 1424 in exponential form is:

1424 = 24×891

Prime Factorization of 1432


2 1432
2 716
2 358
179 179
1

Prime factors of 1432 are 2,179. Prime factorization of 1432 in exponential form is:

1432 = 23×1791

∴ So by taking common prime factors GCF of 1424 and 1432 is 8

Greatest Common Factor of 1424 and 1432 by matching factors method

Factors of 1424

List of positive integer factors of 1424 that divides 1424 without a remainder.

1,2,4,8,16,89,178,356,712,1424

Factors of 1432

List of positive integer factors of 1432 that divides 1432 without a remainder.

1,2,4,8,179,358,716,1432

Greatest Common Factor

We found the factors and prime factorization of 1424 and 1432. The biggest common factor number is the GCF number.
So the greatest common factor 1424 and 1432 is 8.

Also check out the Least Common Multiple of 1424 and 1432

Properties of GCF 1424 and 1432

(i) The GCF of 1424 and 1432 is associative

GCF of 1424 and 1432 = GCF of 1432 and 1424

Related Greatest Common Factor of 1424

Related Greatest Common Factor of 1432

Frequently Asked Questions on GCF of 1424 and 1432

1. What is the GCF of 1424 and 1432?

Answer: GCF of 1424 and 1432 is 8.

2. What are the Factors of 1424?

Answer: Factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424. There are 10 integers that are factors of 1424. The greatest factor of 1424 is 1424.

3. What are the Factors of 1432?

Answer: Factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432. There are 8 integers that are factors of 1432. The greatest factor of 1432 is 1432.

4. How to Find the GCF of 1424 and 1432?

Answer:

Greatest Common Factor of 1424 and 1432 = 8

Step 1: Find the prime factorization of 1424

1424 = 2 x 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 1432

1432 = 2 x 2 x 2 x 179

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1424 and 1432 is 8