Greatest Common Factor of 4217 and 4225

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 4217, 4225 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4217 and 4225 is 1.

GCF(4217,4225) = 1

GCF of 4217 and 4225

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

GCF of:
and

Greatest Common Factor of 4217 and 4225

GCF of 4217 and 4225 is 1

Prime Factorization of 4217


4217 4217
1

Prime factors of 4217 are 4217. Prime factorization of 4217 in exponential form is:

4217 = 42171

Prime Factorization of 4225


5 4225
5 845
13 169
13 13
1

Prime factors of 4225 are 5.Prime factorization of 4225 in exponential form is:

4225 = 52×132

∴ So by taking common prime factors GCF of 4217 and 4225 is 1

Greatest Common Factor of 4217 and 4225 by matching factors method

Factors of 4217

List of positive integer factors of 4217 that divides 4217 without a remainder.

1,4217

Factors of 4225

List of positive integer factors of 4225 that divides 4225 without a remainder.

1,5,13,25,65,169,325,845,4225

Greatest Common Factor

We found the factors and prime factorization of 4217 and 4225. The biggest common factor number is the GCF number.
So the greatest common factor 4217 and 4225 is 1.

Also check out the Least Common Multiple of 4217 and 4225

Properties of GCF 4217 and 4225

(i) The GCF of 4217 and 4225 is associative

GCF of 4217 and 4225 = GCF of 4225 and 4217

Related Greatest Common Factor of 4217

Related Greatest Common Factor of 4225

Frequently Asked Questions on GCF of 4217 and 4225

1. What is the GCF of 4217 and 4225?

Answer: GCF of 4217 and 4225 is 1.

2. What are the Factors of 4217?

Answer: Factors of 4217 are 1, 4217. There are 2 integers that are factors of 4217. The greatest factor of 4217 is 4217.

3. What are the Factors of 4225?

Answer: Factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225. There are 9 integers that are factors of 4225. The greatest factor of 4225 is 4225.

4. How to Find the GCF of 4217 and 4225?

Answer:

Greatest Common Factor of 4217 and 4225 = 1

Step 1: Find the prime factorization of 4217

4217 = 4217

Step 2: Find the prime factorization of 4225

4225 = 5 x 5 x 13 x 13

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 4217 and 4225 is 1