What is the Greatest Common Factor of 75945 and 75959?

Greatest common factor (GCF) of 75945 and 75959 is 1.

GCF(75945,75959) = 1

We will now calculate the prime factors of 75945 and 75959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75945 and 75959.

How to find the GCF of 75945 and 75959?

We will first find the prime factorization of 75945 and 75959. After we will calculate the factors of 75945 and 75959 and find the biggest common factor number .

Step-1: Prime Factorization of 75945

Prime factors of 75945 are 3, 5, 61, 83. Prime factorization of 75945 in exponential form is:

75945 = 3¹ × 5¹ × 61¹ × 83¹

Step-2: Prime Factorization of 75959

Prime factors of 75959 are 13, 5843. Prime factorization of 75959 in exponential form is:

75959 = 13¹ × 5843¹

Step-3: Factors of 75945

List of positive integer factors of 75945 that divides 75945 without a remainder.

1, 3, 5, 15, 61, 83, 183, 249, 305, 415, 915, 1245, 5063, 15189, 25315

Step-4: Factors of 75959

List of positive integer factors of 75959 that divides 75945 without a remainder.

1, 13, 5843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75945 and 75959. The biggest common factor number is the GCF number.
So the greatest common factor 75945 and 75959 is 1.

Also check out the Least Common Multiple of 75945 and 75959