Greatest Common Factor of 37 and 38

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

• Greatest Common Factor of 37 and 38 by prime factorization method
• Greatest Common Factor of 37 and 38 by matching factors method

Prime Factorization of 37

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

37 = 37¹

Prime Factorization of 38

Prime factors of 38 are 2.Prime factorization of 38 in exponential form is:

38 = 2¹×19¹

∴ So by taking common prime factors GCF of 37 and 38 is 1

Factors of 37

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

1,37

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Greatest Common Factor

We found the factors and prime factorization of 37 and 38. The biggest common factor number is the GCF number.
So the greatest common factor 37 and 38 is 1.

Also check out the Least Common Multiple of 37 and 38

(i) The GCF of 37 and 38 is associative

GCF of 37 and 38 = GCF of 38 and 37

1. What is the GCF of 37 and 38?

Answer: GCF of 37 and 38 is 1.

2. 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.

3. What are the Factors of 38?

Answer: Factors of 38 are 1, 2, 19, 38. There are 4 integers that are factors of 38. The greatest factor of 38 is 38.

4. How to Find the GCF of 37 and 38?

Answer:

Greatest Common Factor of 37 and 38 = 1

Step 1: Find the prime factorization of 37

37 = 37

Step 2: Find the prime factorization of 38

38 = 2 x 19

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 37 and 38 is 1