Greatest Common Factor of 131 and 134

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

• Greatest Common Factor of 131 and 134 by prime factorization method
• Greatest Common Factor of 131 and 134 by matching factors method

Prime Factorization of 131

Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:

131 = 131¹

Prime Factorization of 134

Prime factors of 134 are 2.Prime factorization of 134 in exponential form is:

134 = 2¹×67¹

∴ So by taking common prime factors GCF of 131 and 134 is 1

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors and prime factorization of 131 and 134. The biggest common factor number is the GCF number.
So the greatest common factor 131 and 134 is 1.

Also check out the Least Common Multiple of 131 and 134

(i) The GCF of 131 and 134 is associative

GCF of 131 and 134 = GCF of 134 and 131

1. What is the GCF of 131 and 134?

Answer: GCF of 131 and 134 is 1.

2. What are the Factors of 131?

Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.

3. What are the Factors of 134?

Answer: Factors of 134 are 1, 2, 67, 134. There are 4 integers that are factors of 134. The greatest factor of 134 is 134.

4. How to Find the GCF of 131 and 134?

Answer:

Greatest Common Factor of 131 and 134 = 1

Step 1: Find the prime factorization of 131

131 = 131

Step 2: Find the prime factorization of 134

134 = 2 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 131 and 134 is 1