What is the Greatest Common Factor of 75945 and 75949?

Greatest common factor (GCF) of 75945 and 75949 is 1.

GCF(75945,75949) = 1

We will now calculate the prime factors of 75945 and 75949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75945 and 75949.

How to find the GCF of 75945 and 75949?

We will first find the prime factorization of 75945 and 75949. After we will calculate the factors of 75945 and 75949 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 75949

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

75949 = 53¹ × 1433¹

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 75949

List of positive integer factors of 75949 that divides 75945 without a remainder.

1, 53, 1433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75945 and 75949. The biggest common factor number is the GCF number.
So the greatest common factor 75945 and 75949 is 1.

Also check out the Least Common Multiple of 75945 and 75949