What is the Greatest Common Factor of 75985 and 76001?

Greatest common factor (GCF) of 75985 and 76001 is 1.

GCF(75985,76001) = 1

We will now calculate the prime factors of 75985 and 76001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75985 and 76001.

How to find the GCF of 75985 and 76001?

We will first find the prime factorization of 75985 and 76001. After we will calculate the factors of 75985 and 76001 and find the biggest common factor number .

Step-1: Prime Factorization of 75985

Prime factors of 75985 are 5, 7, 13, 167. Prime factorization of 75985 in exponential form is:

75985 = 5¹ × 7¹ × 13¹ × 167¹

Step-2: Prime Factorization of 76001

Prime factors of 76001 are 76001. Prime factorization of 76001 in exponential form is:

76001 = 76001¹

Step-3: Factors of 75985

List of positive integer factors of 75985 that divides 75985 without a remainder.

1, 5, 7, 13, 35, 65, 91, 167, 455, 835, 1169, 2171, 5845, 10855, 15197

Step-4: Factors of 76001

List of positive integer factors of 76001 that divides 75985 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75985 and 76001. The biggest common factor number is the GCF number.
So the greatest common factor 75985 and 76001 is 1.

Also check out the Least Common Multiple of 75985 and 76001