What is the Greatest Common Factor of 75939 and 75949?

Greatest common factor (GCF) of 75939 and 75949 is 1.

GCF(75939,75949) = 1

We will now calculate the prime factors of 75939 and 75949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75939 and 75949.

How to find the GCF of 75939 and 75949?

We will first find the prime factorization of 75939 and 75949. After we will calculate the factors of 75939 and 75949 and find the biggest common factor number .

Step-1: Prime Factorization of 75939

Prime factors of 75939 are 3, 17, 1489. Prime factorization of 75939 in exponential form is:

75939 = 3¹ × 17¹ × 1489¹

Step-2: Prime Factorization of 75949

Prime factors of 75949 are 53, 1433. Prime factorization of 75949 in exponential form is:

75949 = 53¹ × 1433¹

Step-3: Factors of 75939

List of positive integer factors of 75939 that divides 75939 without a remainder.

1, 3, 17, 51, 1489, 4467, 25313

Step-4: Factors of 75949

List of positive integer factors of 75949 that divides 75939 without a remainder.

1, 53, 1433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75939 and 75949. The biggest common factor number is the GCF number.
So the greatest common factor 75939 and 75949 is 1.

Also check out the Least Common Multiple of 75939 and 75949