Greatest Common Factor of 146 and 151

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

• Greatest Common Factor of 146 and 151 by prime factorization method
• Greatest Common Factor of 146 and 151 by matching factors method

Prime Factorization of 146

Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:

146 = 2¹×73¹

Prime Factorization of 151

Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:

151 = 151¹

∴ So by taking common prime factors GCF of 146 and 151 is 1

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors and prime factorization of 146 and 151. The biggest common factor number is the GCF number.
So the greatest common factor 146 and 151 is 1.

Also check out the Least Common Multiple of 146 and 151

(i) The GCF of 146 and 151 is associative

GCF of 146 and 151 = GCF of 151 and 146

1. What is the GCF of 146 and 151?

Answer: GCF of 146 and 151 is 1.

2. What are the Factors of 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

3. What are the Factors of 151?

Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.

4. How to Find the GCF of 146 and 151?

Answer:

Greatest Common Factor of 146 and 151 = 1

Step 1: Find the prime factorization of 146

146 = 2 x 73

Step 2: Find the prime factorization of 151

151 = 151

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 146 and 151 is 1