Greatest Common Factor of 129 and 131

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

• Greatest Common Factor of 129 and 131 by prime factorization method
• Greatest Common Factor of 129 and 131 by matching factors method

Prime Factorization of 129

Prime factors of 129 are 3,43. Prime factorization of 129 in exponential form is:

129 = 3¹×43¹

Prime Factorization of 131

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

131 = 131¹

∴ So by taking common prime factors GCF of 129 and 131 is 1

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 131

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

1,131

Greatest Common Factor

We found the factors and prime factorization of 129 and 131. The biggest common factor number is the GCF number.
So the greatest common factor 129 and 131 is 1.

Also check out the Least Common Multiple of 129 and 131

(i) The GCF of 129 and 131 is associative

GCF of 129 and 131 = GCF of 131 and 129

1. What is the GCF of 129 and 131?

Answer: GCF of 129 and 131 is 1.

2. What are the Factors of 129?

Answer: Factors of 129 are 1, 3, 43, 129. There are 4 integers that are factors of 129. The greatest factor of 129 is 129.

3. 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.

4. How to Find the GCF of 129 and 131?

Answer:

Greatest Common Factor of 129 and 131 = 1

Step 1: Find the prime factorization of 129

129 = 3 x 43

Step 2: Find the prime factorization of 131

131 = 131

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 129 and 131 is 1