What is the Greatest Common Factor of 39 and 53?

Greatest common factor (GCF) of 39 and 53 is 1.

GCF(39,53) = 1

We will now calculate the prime factors of 39 and 53, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39 and 53.

How to find the GCF of 39 and 53?

We will first find the prime factorization of 39 and 53. After we will calculate the factors of 39 and 53 and find the biggest common factor number .

Step-1: Prime Factorization of 39

Prime factors of 39 are 3, 13. Prime factorization of 39 in exponential form is:

39 = 3¹ × 13¹

Step-2: Prime Factorization of 53

Prime factors of 53 are 53. Prime factorization of 53 in exponential form is:

53 = 53¹

Step-3: Factors of 39

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

1, 3, 13

Step-4: Factors of 53

List of positive integer factors of 53 that divides 39 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39 and 53. The biggest common factor number is the GCF number.
So the greatest common factor 39 and 53 is 1.

Also check out the Least Common Multiple of 39 and 53