Greatest Common Factor of 1420 and 1424

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 1420, 1424 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1420 and 1424 is 4.

GCF(1420,1424) = 4

GCF of 1420 and 1424

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

GCF of:
and

Greatest Common Factor of 1420 and 1424

GCF of 1420 and 1424 is 4

Prime Factorization of 1420


2 1420
2 710
5 355
71 71
1

Prime factors of 1420 are 2,5,71. Prime factorization of 1420 in exponential form is:

1420 = 22×51×711

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

∴ So by taking common prime factors GCF of 1420 and 1424 is 4

Greatest Common Factor of 1420 and 1424 by matching factors method

Factors of 1420

List of positive integer factors of 1420 that divides 1420 without a remainder.

1,2,4,5,10,20,71,142,284,355,710,1420

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

Greatest Common Factor

We found the factors and prime factorization of 1420 and 1424. The biggest common factor number is the GCF number.
So the greatest common factor 1420 and 1424 is 4.

Also check out the Least Common Multiple of 1420 and 1424

Properties of GCF 1420 and 1424

(i) The GCF of 1420 and 1424 is associative

GCF of 1420 and 1424 = GCF of 1424 and 1420

Related Greatest Common Factor of 1420

Related Greatest Common Factor of 1424

Frequently Asked Questions on GCF of 1420 and 1424

1. What is the GCF of 1420 and 1424?

Answer: GCF of 1420 and 1424 is 4.

2. What are the Factors of 1420?

Answer: Factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420. There are 12 integers that are factors of 1420. The greatest factor of 1420 is 1420.

3. 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.

4. How to Find the GCF of 1420 and 1424?

Answer:

Greatest Common Factor of 1420 and 1424 = 4

Step 1: Find the prime factorization of 1420

1420 = 2 x 2 x 5 x 71

Step 2: Find the prime factorization of 1424

1424 = 2 x 2 x 2 x 2 x 89

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1420 and 1424 is 4