Greatest Common Factor of 129 and 137

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

• Greatest Common Factor of 129 and 137 by prime factorization method
• Greatest Common Factor of 129 and 137 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 137

Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:

137 = 137¹

∴ So by taking common prime factors GCF of 129 and 137 is 1

Factors of 129

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

1,3,43,129

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors and prime factorization of 129 and 137. The biggest common factor number is the GCF number.
So the greatest common factor 129 and 137 is 1.

Also check out the Least Common Multiple of 129 and 137

(i) The GCF of 129 and 137 is associative

GCF of 129 and 137 = GCF of 137 and 129

1. What is the GCF of 129 and 137?

Answer: GCF of 129 and 137 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 137?

Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.

4. How to Find the GCF of 129 and 137?

Answer:

Greatest Common Factor of 129 and 137 = 1

Step 1: Find the prime factorization of 129

129 = 3 x 43

Step 2: Find the prime factorization of 137

137 = 137

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 137 is 1