Greatest Common Factor of 89196 and 89202

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 89196, 89202 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89196 and 89202 is 6.

GCF(89196,89202) = 6

GCF of 89196 and 89202

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

GCF of:
and

Greatest Common Factor of 89196 and 89202

GCF of 89196 and 89202 is 6

Prime Factorization of 89196


2 89196
2 44598
3 22299
7433 7433
1

Prime factors of 89196 are 2,3,7433. Prime factorization of 89196 in exponential form is:

89196 = 22×31×74331

Prime Factorization of 89202


2 89202
3 44601
14867 14867
1

Prime factors of 89202 are 2,3,14867. Prime factorization of 89202 in exponential form is:

89202 = 21×31×148671

∴ So by taking common prime factors GCF of 89196 and 89202 is 6

Greatest Common Factor of 89196 and 89202 by matching factors method

Factors of 89196

List of positive integer factors of 89196 that divides 89196 without a remainder.

1,2,3,4,6,12,7433,14866,22299,29732,44598,89196

Factors of 89202

List of positive integer factors of 89202 that divides 89202 without a remainder.

1,2,3,6,14867,29734,44601,89202

Greatest Common Factor

We found the factors and prime factorization of 89196 and 89202. The biggest common factor number is the GCF number.
So the greatest common factor 89196 and 89202 is 6.

Also check out the Least Common Multiple of 89196 and 89202

Properties of GCF 89196 and 89202

(i) The GCF of 89196 and 89202 is associative

GCF of 89196 and 89202 = GCF of 89202 and 89196

Related Greatest Common Factor of 89196

Related Greatest Common Factor of 89202

Frequently Asked Questions on GCF of 89196 and 89202

1. What is the GCF of 89196 and 89202?

Answer: GCF of 89196 and 89202 is 6.

2. What are the Factors of 89196?

Answer: Factors of 89196 are 1, 2, 3, 4, 6, 12, 7433, 14866, 22299, 29732, 44598, 89196. There are 12 integers that are factors of 89196. The greatest factor of 89196 is 89196.

3. What are the Factors of 89202?

Answer: Factors of 89202 are 1, 2, 3, 6, 14867, 29734, 44601, 89202. There are 8 integers that are factors of 89202. The greatest factor of 89202 is 89202.

4. How to Find the GCF of 89196 and 89202?

Answer:

Greatest Common Factor of 89196 and 89202 = 6

Step 1: Find the prime factorization of 89196

89196 = 2 x 2 x 3 x 7433

Step 2: Find the prime factorization of 89202

89202 = 2 x 3 x 14867

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 89196 and 89202 is 6