What is the Greatest Common Factor of 75945 and 75962?

Greatest common factor (GCF) of 75945 and 75962 is 1.

GCF(75945,75962) = 1

We will now calculate the prime factors of 75945 and 75962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75945 and 75962.

How to find the GCF of 75945 and 75962?

We will first find the prime factorization of 75945 and 75962. After we will calculate the factors of 75945 and 75962 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 75962

Prime factors of 75962 are 2, 19, 1999. Prime factorization of 75962 in exponential form is:

75962 = 2¹ × 19¹ × 1999¹

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 75962

List of positive integer factors of 75962 that divides 75945 without a remainder.

1, 2, 19, 38, 1999, 3998, 37981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75945 and 75962. The biggest common factor number is the GCF number.
So the greatest common factor 75945 and 75962 is 1.

Also check out the Least Common Multiple of 75945 and 75962