Greatest Common Factor of 28207 and 28212

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 28207, 28212 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28207 and 28212 is 1.

GCF(28207,28212) = 1

GCF of 28207 and 28212

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

GCF of:
and

Greatest Common Factor of 28207 and 28212

GCF of 28207 and 28212 is 1

Prime Factorization of 28207


67 28207
421 421
1

Prime factors of 28207 are 67,421. Prime factorization of 28207 in exponential form is:

28207 = 671×4211

Prime Factorization of 28212


2 28212
2 14106
3 7053
2351 2351
1

Prime factors of 28212 are 2,3,2351. Prime factorization of 28212 in exponential form is:

28212 = 22×31×23511

∴ So by taking common prime factors GCF of 28207 and 28212 is 1

Greatest Common Factor of 28207 and 28212 by matching factors method

Factors of 28207

List of positive integer factors of 28207 that divides 28207 without a remainder.

1,67,421,28207

Factors of 28212

List of positive integer factors of 28212 that divides 28212 without a remainder.

1,2,3,4,6,12,2351,4702,7053,9404,14106,28212

Greatest Common Factor

We found the factors and prime factorization of 28207 and 28212. The biggest common factor number is the GCF number.
So the greatest common factor 28207 and 28212 is 1.

Also check out the Least Common Multiple of 28207 and 28212

Properties of GCF 28207 and 28212

(i) The GCF of 28207 and 28212 is associative

GCF of 28207 and 28212 = GCF of 28212 and 28207

Related Greatest Common Factor of 28207

Related Greatest Common Factor of 28212

Frequently Asked Questions on GCF of 28207 and 28212

1. What is the GCF of 28207 and 28212?

Answer: GCF of 28207 and 28212 is 1.

2. What are the Factors of 28207?

Answer: Factors of 28207 are 1, 67, 421, 28207. There are 4 integers that are factors of 28207. The greatest factor of 28207 is 28207.

3. What are the Factors of 28212?

Answer: Factors of 28212 are 1, 2, 3, 4, 6, 12, 2351, 4702, 7053, 9404, 14106, 28212. There are 12 integers that are factors of 28212. The greatest factor of 28212 is 28212.

4. How to Find the GCF of 28207 and 28212?

Answer:

Greatest Common Factor of 28207 and 28212 = 1

Step 1: Find the prime factorization of 28207

28207 = 67 x 421

Step 2: Find the prime factorization of 28212

28212 = 2 x 2 x 3 x 2351

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 28207 and 28212 is 1