Greatest Common Factor of 34225 and 34228

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 34225, 34228 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34225 and 34228 is 1.

GCF(34225,34228) = 1

GCF of 34225 and 34228

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

GCF of:
and

Greatest Common Factor of 34225 and 34228

GCF of 34225 and 34228 is 1

Prime Factorization of 34225


5 34225
5 6845
37 1369
37 37
1

Prime factors of 34225 are 5,37. Prime factorization of 34225 in exponential form is:

34225 = 52×372

Prime Factorization of 34228


2 34228
2 17114
43 8557
199 199
1

Prime factors of 34228 are 2,43,199. Prime factorization of 34228 in exponential form is:

34228 = 22×431×1991

∴ So by taking common prime factors GCF of 34225 and 34228 is 1

Greatest Common Factor of 34225 and 34228 by matching factors method

Factors of 34225

List of positive integer factors of 34225 that divides 34225 without a remainder.

1,5,25,37,185,925,1369,6845,34225

Factors of 34228

List of positive integer factors of 34228 that divides 34228 without a remainder.

1,2,4,43,86,172,199,398,796,8557,17114,34228

Greatest Common Factor

We found the factors and prime factorization of 34225 and 34228. The biggest common factor number is the GCF number.
So the greatest common factor 34225 and 34228 is 1.

Also check out the Least Common Multiple of 34225 and 34228

Properties of GCF 34225 and 34228

(i) The GCF of 34225 and 34228 is associative

GCF of 34225 and 34228 = GCF of 34228 and 34225

Related Greatest Common Factor of 34225

Related Greatest Common Factor of 34228

Frequently Asked Questions on GCF of 34225 and 34228

1. What is the GCF of 34225 and 34228?

Answer: GCF of 34225 and 34228 is 1.

2. What are the Factors of 34225?

Answer: Factors of 34225 are 1, 5, 25, 37, 185, 925, 1369, 6845, 34225. There are 9 integers that are factors of 34225. The greatest factor of 34225 is 34225.

3. What are the Factors of 34228?

Answer: Factors of 34228 are 1, 2, 4, 43, 86, 172, 199, 398, 796, 8557, 17114, 34228. There are 12 integers that are factors of 34228. The greatest factor of 34228 is 34228.

4. How to Find the GCF of 34225 and 34228?

Answer:

Greatest Common Factor of 34225 and 34228 = 1

Step 1: Find the prime factorization of 34225

34225 = 5 x 5 x 37 x 37

Step 2: Find the prime factorization of 34228

34228 = 2 x 2 x 43 x 199

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 34225 and 34228 is 1