What is the Greatest Common Factor of 39088 and 39105?

Greatest common factor (GCF) of 39088 and 39105 is 1.

GCF(39088,39105) = 1

We will now calculate the prime factors of 39088 and 39105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39088 and 39105.

How to find the GCF of 39088 and 39105?

We will first find the prime factorization of 39088 and 39105. After we will calculate the factors of 39088 and 39105 and find the biggest common factor number .

Step-1: Prime Factorization of 39088

Prime factors of 39088 are 2, 7, 349. Prime factorization of 39088 in exponential form is:

39088 = 2⁴ × 7¹ × 349¹

Step-2: Prime Factorization of 39105

Prime factors of 39105 are 3, 5, 11, 79. Prime factorization of 39105 in exponential form is:

39105 = 3² × 5¹ × 11¹ × 79¹

Step-3: Factors of 39088

List of positive integer factors of 39088 that divides 39088 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 349, 698, 1396, 2443, 2792, 4886, 5584, 9772, 19544

Step-4: Factors of 39105

List of positive integer factors of 39105 that divides 39088 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 79, 99, 165, 237, 395, 495, 711, 869, 1185, 2607, 3555, 4345, 7821, 13035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39088 and 39105. The biggest common factor number is the GCF number.
So the greatest common factor 39088 and 39105 is 1.

Also check out the Least Common Multiple of 39088 and 39105