Greatest Common Factor of 4207 and 4214

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 4207, 4214 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4207 and 4214 is 7.

GCF(4207,4214) = 7

GCF of 4207 and 4214

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

GCF of:
and

Greatest Common Factor of 4207 and 4214

GCF of 4207 and 4214 is 7

Prime Factorization of 4207


7 4207
601 601
1

Prime factors of 4207 are 7,601. Prime factorization of 4207 in exponential form is:

4207 = 71×6011

Prime Factorization of 4214


2 4214
7 2107
7 301
43 43
1

Prime factors of 4214 are 2,7,43. Prime factorization of 4214 in exponential form is:

4214 = 21×72×431

∴ So by taking common prime factors GCF of 4207 and 4214 is 7

Greatest Common Factor of 4207 and 4214 by matching factors method

Factors of 4207

List of positive integer factors of 4207 that divides 4207 without a remainder.

1,7,601,4207

Factors of 4214

List of positive integer factors of 4214 that divides 4214 without a remainder.

1,2,7,14,43,49,86,98,301,602,2107,4214

Greatest Common Factor

We found the factors and prime factorization of 4207 and 4214. The biggest common factor number is the GCF number.
So the greatest common factor 4207 and 4214 is 7.

Also check out the Least Common Multiple of 4207 and 4214

Properties of GCF 4207 and 4214

(i) The GCF of 4207 and 4214 is associative

GCF of 4207 and 4214 = GCF of 4214 and 4207

Related Greatest Common Factor of 4207

Related Greatest Common Factor of 4214

Frequently Asked Questions on GCF of 4207 and 4214

1. What is the GCF of 4207 and 4214?

Answer: GCF of 4207 and 4214 is 7.

2. What are the Factors of 4207?

Answer: Factors of 4207 are 1, 7, 601, 4207. There are 4 integers that are factors of 4207. The greatest factor of 4207 is 4207.

3. What are the Factors of 4214?

Answer: Factors of 4214 are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214. There are 12 integers that are factors of 4214. The greatest factor of 4214 is 4214.

4. How to Find the GCF of 4207 and 4214?

Answer:

Greatest Common Factor of 4207 and 4214 = 7

Step 1: Find the prime factorization of 4207

4207 = 7 x 601

Step 2: Find the prime factorization of 4214

4214 = 2 x 7 x 7 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 4207 and 4214 is 7