Greatest Common Factor of 133 and 139

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

• Greatest Common Factor of 133 and 139 by prime factorization method
• Greatest Common Factor of 133 and 139 by matching factors method

Prime Factorization of 133

Prime factors of 133 are 7,19. Prime factorization of 133 in exponential form is:

133 = 7¹×19¹

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 133 and 139 is 1

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

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 133 and 139. The biggest common factor number is the GCF number.
So the greatest common factor 133 and 139 is 1.

Also check out the Least Common Multiple of 133 and 139

(i) The GCF of 133 and 139 is associative

GCF of 133 and 139 = GCF of 139 and 133

1. What is the GCF of 133 and 139?

Answer: GCF of 133 and 139 is 1.

2. What are the Factors of 133?

Answer: Factors of 133 are 1, 7, 19, 133. There are 4 integers that are factors of 133. The greatest factor of 133 is 133.

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 133 and 139?

Answer:

Greatest Common Factor of 133 and 139 = 1

Step 1: Find the prime factorization of 133

133 = 7 x 19

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 133 and 139 is 1