Greatest Common Factor of 134 and 139

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

• Greatest Common Factor of 134 and 139 by prime factorization method
• Greatest Common Factor of 134 and 139 by matching factors method

Prime Factorization of 134

Prime factors of 134 are 2,67. Prime factorization of 134 in exponential form is:

134 = 2¹×67¹

Prime Factorization of 139

Prime factors of 139 are 139. Prime factorization of 139 in exponential form is:

139 = 139¹

∴ So by taking common prime factors GCF of 134 and 139 is 1

Factors of 134

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

1,2,67,134

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors and prime factorization of 134 and 139. The biggest common factor number is the GCF number.
So the greatest common factor 134 and 139 is 1.

Also check out the Least Common Multiple of 134 and 139

(i) The GCF of 134 and 139 is associative

GCF of 134 and 139 = GCF of 139 and 134

1. What is the GCF of 134 and 139?

Answer: GCF of 134 and 139 is 1.

2. 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.

3. What are the Factors of 139?

Answer: Factors of 139 are 1, 139. There are 2 integers that are factors of 139. The greatest factor of 139 is 139.

4. How to Find the GCF of 134 and 139?

Answer:

Greatest Common Factor of 134 and 139 = 1

Step 1: Find the prime factorization of 134

134 = 2 x 67

Step 2: Find the prime factorization of 139

139 = 139

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 134 and 139 is 1