Greatest Common Factor of 29020 and 29028

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 29020, 29028 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 29020 and 29028 is 4.

GCF(29020,29028) = 4

GCF of 29020 and 29028

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

GCF of:
and

Greatest Common Factor of 29020 and 29028

GCF of 29020 and 29028 is 4

Prime Factorization of 29020


2 29020
2 14510
5 7255
1451 1451
1

Prime factors of 29020 are 2,5,1451. Prime factorization of 29020 in exponential form is:

29020 = 22×51×14511

Prime Factorization of 29028


2 29028
2 14514
3 7257
41 2419
59 59
1

Prime factors of 29028 are 2,3,41,59. Prime factorization of 29028 in exponential form is:

29028 = 22×31×411×591

∴ So by taking common prime factors GCF of 29020 and 29028 is 4

Greatest Common Factor of 29020 and 29028 by matching factors method

Factors of 29020

List of positive integer factors of 29020 that divides 29020 without a remainder.

1,2,4,5,10,20,1451,2902,5804,7255,14510,29020

Factors of 29028

List of positive integer factors of 29028 that divides 29028 without a remainder.

1,2,3,4,6,12,41,59,82,118,123,164,177,236,246,354,492,708,2419,4838,7257,9676,14514,29028

Greatest Common Factor

We found the factors and prime factorization of 29020 and 29028. The biggest common factor number is the GCF number.
So the greatest common factor 29020 and 29028 is 4.

Also check out the Least Common Multiple of 29020 and 29028

Properties of GCF 29020 and 29028

(i) The GCF of 29020 and 29028 is associative

GCF of 29020 and 29028 = GCF of 29028 and 29020

Related Greatest Common Factor of 29020

Related Greatest Common Factor of 29028

Frequently Asked Questions on GCF of 29020 and 29028

1. What is the GCF of 29020 and 29028?

Answer: GCF of 29020 and 29028 is 4.

2. What are the Factors of 29020?

Answer: Factors of 29020 are 1, 2, 4, 5, 10, 20, 1451, 2902, 5804, 7255, 14510, 29020. There are 12 integers that are factors of 29020. The greatest factor of 29020 is 29020.

3. What are the Factors of 29028?

Answer: Factors of 29028 are 1, 2, 3, 4, 6, 12, 41, 59, 82, 118, 123, 164, 177, 236, 246, 354, 492, 708, 2419, 4838, 7257, 9676, 14514, 29028. There are 24 integers that are factors of 29028. The greatest factor of 29028 is 29028.

4. How to Find the GCF of 29020 and 29028?

Answer:

Greatest Common Factor of 29020 and 29028 = 4

Step 1: Find the prime factorization of 29020

29020 = 2 x 2 x 5 x 1451

Step 2: Find the prime factorization of 29028

29028 = 2 x 2 x 3 x 41 x 59

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 29020 and 29028 is 4