Greatest Common Factor of 1202 and 1205

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 1202, 1205 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1202 and 1205 is 1.

GCF(1202,1205) = 1

GCF of 1202 and 1205

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

GCF of:
and

Greatest Common Factor of 1202 and 1205

GCF of 1202 and 1205 is 1

Prime Factorization of 1202


2 1202
601 601
1

Prime factors of 1202 are 2,601. Prime factorization of 1202 in exponential form is:

1202 = 21×6011

Prime Factorization of 1205


5 1205
241 241
1

Prime factors of 1205 are 5,241. Prime factorization of 1205 in exponential form is:

1205 = 51×2411

∴ So by taking common prime factors GCF of 1202 and 1205 is 1

Greatest Common Factor of 1202 and 1205 by matching factors method

Factors of 1202

List of positive integer factors of 1202 that divides 1202 without a remainder.

1,2,601,1202

Factors of 1205

List of positive integer factors of 1205 that divides 1205 without a remainder.

1,5,241,1205

Greatest Common Factor

We found the factors and prime factorization of 1202 and 1205. The biggest common factor number is the GCF number.
So the greatest common factor 1202 and 1205 is 1.

Also check out the Least Common Multiple of 1202 and 1205

Properties of GCF 1202 and 1205

(i) The GCF of 1202 and 1205 is associative

GCF of 1202 and 1205 = GCF of 1205 and 1202

Related Greatest Common Factor of 1202

Related Greatest Common Factor of 1205

Frequently Asked Questions on GCF of 1202 and 1205

1. What is the GCF of 1202 and 1205?

Answer: GCF of 1202 and 1205 is 1.

2. What are the Factors of 1202?

Answer: Factors of 1202 are 1, 2, 601, 1202. There are 4 integers that are factors of 1202. The greatest factor of 1202 is 1202.

3. What are the Factors of 1205?

Answer: Factors of 1205 are 1, 5, 241, 1205. There are 4 integers that are factors of 1205. The greatest factor of 1205 is 1205.

4. How to Find the GCF of 1202 and 1205?

Answer:

Greatest Common Factor of 1202 and 1205 = 1

Step 1: Find the prime factorization of 1202

1202 = 2 x 601

Step 2: Find the prime factorization of 1205

1205 = 5 x 241

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 1202 and 1205 is 1