Greatest Common Factor of 4172 and 4177

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 4172, 4177 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4172 and 4177 is 1.

GCF(4172,4177) = 1

GCF of 4172 and 4177

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

GCF of:
and

Greatest Common Factor of 4172 and 4177

GCF of 4172 and 4177 is 1

Prime Factorization of 4172


2 4172
2 2086
7 1043
149 149
1

Prime factors of 4172 are 2,7,149. Prime factorization of 4172 in exponential form is:

4172 = 22×71×1491

Prime Factorization of 4177


4177 4177
1

Prime factors of 4177 are 4177. Prime factorization of 4177 in exponential form is:

4177 = 41771

∴ So by taking common prime factors GCF of 4172 and 4177 is 1

Greatest Common Factor of 4172 and 4177 by matching factors method

Factors of 4172

List of positive integer factors of 4172 that divides 4172 without a remainder.

1,2,4,7,14,28,149,298,596,1043,2086,4172

Factors of 4177

List of positive integer factors of 4177 that divides 4177 without a remainder.

1,4177

Greatest Common Factor

We found the factors and prime factorization of 4172 and 4177. The biggest common factor number is the GCF number.
So the greatest common factor 4172 and 4177 is 1.

Also check out the Least Common Multiple of 4172 and 4177

Properties of GCF 4172 and 4177

(i) The GCF of 4172 and 4177 is associative

GCF of 4172 and 4177 = GCF of 4177 and 4172

Frequently Asked Questions on GCF of 4172 and 4177

1. What is the GCF of 4172 and 4177?

Answer: GCF of 4172 and 4177 is 1.

2. What are the Factors of 4172?

Answer: Factors of 4172 are 1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172. There are 12 integers that are factors of 4172. The greatest factor of 4172 is 4172.

3. What are the Factors of 4177?

Answer: Factors of 4177 are 1, 4177. There are 2 integers that are factors of 4177. The greatest factor of 4177 is 4177.

4. How to Find the GCF of 4172 and 4177?

Answer:

Greatest Common Factor of 4172 and 4177 = 1

Step 1: Find the prime factorization of 4172

4172 = 2 x 2 x 7 x 149

Step 2: Find the prime factorization of 4177

4177 = 4177

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 4172 and 4177 is 1