Greatest Common Factor of 8021 and 8028

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 8021, 8028 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8021 and 8028 is 1.

GCF(8021,8028) = 1

GCF of 8021 and 8028

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

GCF of:
and

Greatest Common Factor of 8021 and 8028

GCF of 8021 and 8028 is 1

Prime Factorization of 8021


13 8021
617 617
1

Prime factors of 8021 are 13,617. Prime factorization of 8021 in exponential form is:

8021 = 131×6171

Prime Factorization of 8028


2 8028
2 4014
3 2007
3 669
223 223
1

Prime factors of 8028 are 2,3,223. Prime factorization of 8028 in exponential form is:

8028 = 22×32×2231

∴ So by taking common prime factors GCF of 8021 and 8028 is 1

Greatest Common Factor of 8021 and 8028 by matching factors method

Factors of 8021

List of positive integer factors of 8021 that divides 8021 without a remainder.

1,13,617,8021

Factors of 8028

List of positive integer factors of 8028 that divides 8028 without a remainder.

1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028

Greatest Common Factor

We found the factors and prime factorization of 8021 and 8028. The biggest common factor number is the GCF number.
So the greatest common factor 8021 and 8028 is 1.

Also check out the Least Common Multiple of 8021 and 8028

Properties of GCF 8021 and 8028

(i) The GCF of 8021 and 8028 is associative

GCF of 8021 and 8028 = GCF of 8028 and 8021

Related Greatest Common Factor of 8021

Related Greatest Common Factor of 8028

Frequently Asked Questions on GCF of 8021 and 8028

1. What is the GCF of 8021 and 8028?

Answer: GCF of 8021 and 8028 is 1.

2. What are the Factors of 8021?

Answer: Factors of 8021 are 1, 13, 617, 8021. There are 4 integers that are factors of 8021. The greatest factor of 8021 is 8021.

3. What are the Factors of 8028?

Answer: Factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028. There are 18 integers that are factors of 8028. The greatest factor of 8028 is 8028.

4. How to Find the GCF of 8021 and 8028?

Answer:

Greatest Common Factor of 8021 and 8028 = 1

Step 1: Find the prime factorization of 8021

8021 = 13 x 617

Step 2: Find the prime factorization of 8028

8028 = 2 x 2 x 3 x 3 x 223

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 8021 and 8028 is 1