Greatest Common Factor of 145 and 149

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

• Greatest Common Factor of 145 and 149 by prime factorization method
• Greatest Common Factor of 145 and 149 by matching factors method

Prime Factorization of 145

Prime factors of 145 are 5,29. Prime factorization of 145 in exponential form is:

145 = 5¹×29¹

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 145 and 149 is 1

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

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 145 and 149. The biggest common factor number is the GCF number.
So the greatest common factor 145 and 149 is 1.

Also check out the Least Common Multiple of 145 and 149

(i) The GCF of 145 and 149 is associative

GCF of 145 and 149 = GCF of 149 and 145

1. What is the GCF of 145 and 149?

Answer: GCF of 145 and 149 is 1.

2. What are the Factors of 145?

Answer: Factors of 145 are 1, 5, 29, 145. There are 4 integers that are factors of 145. The greatest factor of 145 is 145.

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 145 and 149?

Answer:

Greatest Common Factor of 145 and 149 = 1

Step 1: Find the prime factorization of 145

145 = 5 x 29

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 145 and 149 is 1