Greatest Common Factor of 4219 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 4219, 4225 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4219 and 4225 is 1.

GCF(4219,4225) = 1

GCF of 4219 and 4225

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

GCF of:
and

Greatest Common Factor of 4219 and 4225

GCF of 4219 and 4225 is 1

Prime Factorization of 4219


4219 4219
1

Prime factors of 4219 are 4219. Prime factorization of 4219 in exponential form is:

4219 = 42191

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 4219 and 4225 is 1

Greatest Common Factor of 4219 and 4225 by matching factors method

Factors of 4219

List of positive integer factors of 4219 that divides 4219 without a remainder.

1,4219

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 4219 and 4225. The biggest common factor number is the GCF number.
So the greatest common factor 4219 and 4225 is 1.

Also check out the Least Common Multiple of 4219 and 4225

Properties of GCF 4219 and 4225

(i) The GCF of 4219 and 4225 is associative

GCF of 4219 and 4225 = GCF of 4225 and 4219

Related Greatest Common Factor of 4219

Related Greatest Common Factor of 4225

Frequently Asked Questions on GCF of 4219 and 4225

1. What is the GCF of 4219 and 4225?

Answer: GCF of 4219 and 4225 is 1.

2. What are the Factors of 4219?

Answer: Factors of 4219 are 1, 4219. There are 2 integers that are factors of 4219. The greatest factor of 4219 is 4219.

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 4219 and 4225?

Answer:

Greatest Common Factor of 4219 and 4225 = 1

Step 1: Find the prime factorization of 4219

4219 = 4219

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 4219 and 4225 is 1