Greatest Common Factor of 31 and 37

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

• Greatest Common Factor of 31 and 37 by prime factorization method
• Greatest Common Factor of 31 and 37 by matching factors method

Prime Factorization of 31

Prime factors of 31 are 31. Prime factorization of 31 in exponential form is:

31 = 31¹

Prime Factorization of 37

Prime factors of 37 are 37.Prime factorization of 37 in exponential form is:

37 = 37¹

∴ So by taking common prime factors GCF of 31 and 37 is 1

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors and prime factorization of 31 and 37. The biggest common factor number is the GCF number.
So the greatest common factor 31 and 37 is 1.

Also check out the Least Common Multiple of 31 and 37

(i) The GCF of 31 and 37 is associative

GCF of 31 and 37 = GCF of 37 and 31

1. What is the GCF of 31 and 37?

Answer: GCF of 31 and 37 is 1.

2. What are the Factors of 31?

Answer: Factors of 31 are 1, 31. There are 2 integers that are factors of 31. The greatest factor of 31 is 31.

3. What are the Factors of 37?

Answer: Factors of 37 are 1, 37. There are 2 integers that are factors of 37. The greatest factor of 37 is 37.

4. How to Find the GCF of 31 and 37?

Answer:

Greatest Common Factor of 31 and 37 = 1

Step 1: Find the prime factorization of 31

31 = 31

Step 2: Find the prime factorization of 37

37 = 37

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 31 and 37 is 1