Greatest Common Factor of 137 and 145

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

• Greatest Common Factor of 137 and 145 by prime factorization method
• Greatest Common Factor of 137 and 145 by matching factors method

Prime Factorization of 137

Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:

137 = 137¹

Prime Factorization of 145

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

145 = 5¹×29¹

∴ So by taking common prime factors GCF of 137 and 145 is 1

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 145

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

1,5,29,145

Greatest Common Factor

We found the factors and prime factorization of 137 and 145. The biggest common factor number is the GCF number.
So the greatest common factor 137 and 145 is 1.

Also check out the Least Common Multiple of 137 and 145

(i) The GCF of 137 and 145 is associative

GCF of 137 and 145 = GCF of 145 and 137

1. What is the GCF of 137 and 145?

Answer: GCF of 137 and 145 is 1.

2. What are the Factors of 137?

Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.

3. 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.

4. How to Find the GCF of 137 and 145?

Answer:

Greatest Common Factor of 137 and 145 = 1

Step 1: Find the prime factorization of 137

137 = 137

Step 2: Find the prime factorization of 145

145 = 5 x 29

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 137 and 145 is 1