Greatest Common Factor of 149 and 155

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

• Greatest Common Factor of 149 and 155 by prime factorization method
• Greatest Common Factor of 149 and 155 by matching factors method

Prime Factorization of 149

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

149 = 149¹

Prime Factorization of 155

Prime factors of 155 are 5.Prime factorization of 155 in exponential form is:

155 = 5¹×31¹

∴ So by taking common prime factors GCF of 149 and 155 is 1

Factors of 149

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

1,149

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors and prime factorization of 149 and 155. The biggest common factor number is the GCF number.
So the greatest common factor 149 and 155 is 1.

Also check out the Least Common Multiple of 149 and 155

(i) The GCF of 149 and 155 is associative

GCF of 149 and 155 = GCF of 155 and 149

1. What is the GCF of 149 and 155?

Answer: GCF of 149 and 155 is 1.

2. 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.

3. What are the Factors of 155?

Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.

4. How to Find the GCF of 149 and 155?

Answer:

Greatest Common Factor of 149 and 155 = 1

Step 1: Find the prime factorization of 149

149 = 149

Step 2: Find the prime factorization of 155

155 = 5 x 31

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 149 and 155 is 1