Greatest Common Factor of 149 and 157

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

• Greatest Common Factor of 149 and 157 by prime factorization method
• Greatest Common Factor of 149 and 157 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 157

Prime factors of 157 are 157.Prime factorization of 157 in exponential form is:

157 = 157¹

∴ So by taking common prime factors GCF of 149 and 157 is 1

Factors of 149

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

1,149

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors and prime factorization of 149 and 157. The biggest common factor number is the GCF number.
So the greatest common factor 149 and 157 is 1.

Also check out the Least Common Multiple of 149 and 157

(i) The GCF of 149 and 157 is associative

GCF of 149 and 157 = GCF of 157 and 149

1. What is the GCF of 149 and 157?

Answer: GCF of 149 and 157 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 157?

Answer: Factors of 157 are 1, 157. There are 2 integers that are factors of 157. The greatest factor of 157 is 157.

4. How to Find the GCF of 149 and 157?

Answer:

Greatest Common Factor of 149 and 157 = 1

Step 1: Find the prime factorization of 149

149 = 149

Step 2: Find the prime factorization of 157

157 = 157

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 157 is 1