Greatest Common Factor of 1194 and 1202

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 1194, 1202 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1194 and 1202 is 2.

GCF(1194,1202) = 2

GCF of 1194 and 1202

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

GCF of:
and

Greatest Common Factor of 1194 and 1202

GCF of 1194 and 1202 is 2

Prime Factorization of 1194


2 1194
3 597
199 199
1

Prime factors of 1194 are 2,3,199. Prime factorization of 1194 in exponential form is:

1194 = 21×31×1991

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

∴ So by taking common prime factors GCF of 1194 and 1202 is 2

Greatest Common Factor of 1194 and 1202 by matching factors method

Factors of 1194

List of positive integer factors of 1194 that divides 1194 without a remainder.

1,2,3,6,199,398,597,1194

Factors of 1202

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

1,2,601,1202

Greatest Common Factor

We found the factors and prime factorization of 1194 and 1202. The biggest common factor number is the GCF number.
So the greatest common factor 1194 and 1202 is 2.

Also check out the Least Common Multiple of 1194 and 1202

Properties of GCF 1194 and 1202

(i) The GCF of 1194 and 1202 is associative

GCF of 1194 and 1202 = GCF of 1202 and 1194

Related Greatest Common Factor of 1194

Related Greatest Common Factor of 1202

Frequently Asked Questions on GCF of 1194 and 1202

1. What is the GCF of 1194 and 1202?

Answer: GCF of 1194 and 1202 is 2.

2. What are the Factors of 1194?

Answer: Factors of 1194 are 1, 2, 3, 6, 199, 398, 597, 1194. There are 8 integers that are factors of 1194. The greatest factor of 1194 is 1194.

3. 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.

4. How to Find the GCF of 1194 and 1202?

Answer:

Greatest Common Factor of 1194 and 1202 = 2

Step 1: Find the prime factorization of 1194

1194 = 2 x 3 x 199

Step 2: Find the prime factorization of 1202

1202 = 2 x 601

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1194 and 1202 is 2