Greatest Common Factor of 141 and 149

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

• Greatest Common Factor of 141 and 149 by prime factorization method
• Greatest Common Factor of 141 and 149 by matching factors method

Prime Factorization of 141

Prime factors of 141 are 3,47. Prime factorization of 141 in exponential form is:

141 = 3¹×47¹

Prime Factorization of 149

Prime factors of 149 are 149. Prime factorization of 149 in exponential form is:

149 = 149¹

∴ So by taking common prime factors GCF of 141 and 149 is 1

Factors of 141

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

1,3,47,141

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors and prime factorization of 141 and 149. The biggest common factor number is the GCF number.
So the greatest common factor 141 and 149 is 1.

Also check out the Least Common Multiple of 141 and 149

(i) The GCF of 141 and 149 is associative

GCF of 141 and 149 = GCF of 149 and 141

1. What is the GCF of 141 and 149?

Answer: GCF of 141 and 149 is 1.

2. 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.

3. What are the Factors of 149?

Answer: Factors of 149 are 1, 149. There are 2 integers that are factors of 149. The greatest factor of 149 is 149.

4. How to Find the GCF of 141 and 149?

Answer:

Greatest Common Factor of 141 and 149 = 1

Step 1: Find the prime factorization of 141

141 = 3 x 47

Step 2: Find the prime factorization of 149

149 = 149

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 141 and 149 is 1