Greatest Common Factor of 196 and 201

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 196, 201 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 196 and 201 is 1.

GCF(196,201) = 1

GCF of 196 and 201

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

GCF of:
and

Greatest Common Factor of 196 and 201 by Prime factorization method

Prime Factorization of 196


2 196
2 98
7 49
7 7
1

Prime factors of 196 are 2,7. Prime factorization of 196 in exponential form is:

196 = 22×72

Prime Factorization of 201


3 201
67 67
1

Prime factors of 201 are 3,67. Prime factorization of 201 in exponential form is:

201 = 31×671

∴ So by taking common prime factors GCF of 196 and 201 is 1

Greatest Common Factor of 196 and 201 by matching factors method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors and prime factorization of 196 and 201. The biggest common factor number is the GCF number.
So the greatest common factor 196 and 201 is 1.

Also check out the Least Common Multiple of 196 and 201

Properties of GCF 196 and 201

(i) The GCF of 196 and 201 is associative

GCF of 196 and 201 = GCF of 201 and 196

Frequently Asked Questions on GCF of 196 and 201

1. What is the GCF of 196 and 201?

Answer: GCF of 196 and 201 is 1.

2. What are the Factors of 196?

Answer: Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196. There are 9 integers that are factors of 196. The greatest factor of 196 is 196.

3. What are the Factors of 201?

Answer: Factors of 201 are 1, 3, 67, 201. There are 4 integers that are factors of 201. The greatest factor of 201 is 201.

4. How to Find the GCF of 196 and 201?

Answer:

Greatest Common Factor of 196 and 201 = 1

Step 1: Find the prime factorization of 196

196 = 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 201

201 = 3 x 67

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 196 and 201 is 1

Greatest Common Factor of 196 and 201