Greatest Common Factor of 127 and 131

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

• Greatest Common Factor of 127 and 131 by prime factorization method
• Greatest Common Factor of 127 and 131 by matching factors method

Prime Factorization of 127

Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:

127 = 127¹

Prime Factorization of 131

Prime factors of 131 are 131.Prime factorization of 131 in exponential form is:

131 = 131¹

∴ So by taking common prime factors GCF of 127 and 131 is 1

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors and prime factorization of 127 and 131. The biggest common factor number is the GCF number.
So the greatest common factor 127 and 131 is 1.

Also check out the Least Common Multiple of 127 and 131

(i) The GCF of 127 and 131 is associative

GCF of 127 and 131 = GCF of 131 and 127

1. What is the GCF of 127 and 131?

Answer: GCF of 127 and 131 is 1.

2. What are the Factors of 127?

Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.

3. What are the Factors of 131?

Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.

4. How to Find the GCF of 127 and 131?

Answer:

Greatest Common Factor of 127 and 131 = 1

Step 1: Find the prime factorization of 127

127 = 127

Step 2: Find the prime factorization of 131

131 = 131

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 127 and 131 is 1