Greatest Common Factor of 37 and 39

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

• Greatest Common Factor of 37 and 39 by prime factorization method
• Greatest Common Factor of 37 and 39 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 39

Prime factors of 39 are 3.Prime factorization of 39 in exponential form is:

39 = 3¹×13¹

∴ So by taking common prime factors GCF of 37 and 39 is 1

Factors of 37

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

1,37

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors and prime factorization of 37 and 39. The biggest common factor number is the GCF number.
So the greatest common factor 37 and 39 is 1.

Also check out the Least Common Multiple of 37 and 39

(i) The GCF of 37 and 39 is associative

GCF of 37 and 39 = GCF of 39 and 37

1. What is the GCF of 37 and 39?

Answer: GCF of 37 and 39 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 39?

Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.

4. How to Find the GCF of 37 and 39?

Answer:

Greatest Common Factor of 37 and 39 = 1

Step 1: Find the prime factorization of 37

37 = 37

Step 2: Find the prime factorization of 39

39 = 3 x 13

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 39 is 1