Greatest Common Factor of 137 and 141

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

• Greatest Common Factor of 137 and 141 by prime factorization method
• Greatest Common Factor of 137 and 141 by matching factors method

Prime Factorization of 137

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

137 = 137¹

Prime Factorization of 141

Prime factors of 141 are 3.Prime factorization of 141 in exponential form is:

141 = 3¹×47¹

∴ So by taking common prime factors GCF of 137 and 141 is 1

Factors of 137

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

1,137

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors and prime factorization of 137 and 141. The biggest common factor number is the GCF number.
So the greatest common factor 137 and 141 is 1.

Also check out the Least Common Multiple of 137 and 141

(i) The GCF of 137 and 141 is associative

GCF of 137 and 141 = GCF of 141 and 137

1. What is the GCF of 137 and 141?

Answer: GCF of 137 and 141 is 1.

2. 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.

3. What are the Factors of 141?

Answer: Factors of 141 are 1, 3, 47, 141. There are 4 integers that are factors of 141. The greatest factor of 141 is 141.

4. How to Find the GCF of 137 and 141?

Answer:

Greatest Common Factor of 137 and 141 = 1

Step 1: Find the prime factorization of 137

137 = 137

Step 2: Find the prime factorization of 141

141 = 3 x 47

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 137 and 141 is 1