Greatest Common Factor of 119 and 122

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

• Greatest Common Factor of 119 and 122 by prime factorization method
• Greatest Common Factor of 119 and 122 by matching factors method

Prime Factorization of 119

Prime factors of 119 are 7,17. Prime factorization of 119 in exponential form is:

119 = 7¹×17¹

Prime Factorization of 122

Prime factors of 122 are 2,61. Prime factorization of 122 in exponential form is:

122 = 2¹×61¹

∴ So by taking common prime factors GCF of 119 and 122 is 1

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors and prime factorization of 119 and 122. The biggest common factor number is the GCF number.
So the greatest common factor 119 and 122 is 1.

Also check out the Least Common Multiple of 119 and 122

(i) The GCF of 119 and 122 is associative

GCF of 119 and 122 = GCF of 122 and 119

1. What is the GCF of 119 and 122?

Answer: GCF of 119 and 122 is 1.

2. What are the Factors of 119?

Answer: Factors of 119 are 1, 7, 17, 119. There are 4 integers that are factors of 119. The greatest factor of 119 is 119.

3. What are the Factors of 122?

Answer: Factors of 122 are 1, 2, 61, 122. There are 4 integers that are factors of 122. The greatest factor of 122 is 122.

4. How to Find the GCF of 119 and 122?

Answer:

Greatest Common Factor of 119 and 122 = 1

Step 1: Find the prime factorization of 119

119 = 7 x 17

Step 2: Find the prime factorization of 122

122 = 2 x 61

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 119 and 122 is 1