What is the Greatest Common Factor of 75999 and 76013?

Greatest common factor (GCF) of 75999 and 76013 is 7.

GCF(75999,76013) = 7

We will now calculate the prime factors of 75999 and 76013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75999 and 76013.

How to find the GCF of 75999 and 76013?

We will first find the prime factorization of 75999 and 76013. After we will calculate the factors of 75999 and 76013 and find the biggest common factor number .

Step-1: Prime Factorization of 75999

Prime factors of 75999 are 3, 7, 11, 47. Prime factorization of 75999 in exponential form is:

75999 = 3¹ × 7² × 11¹ × 47¹

Step-2: Prime Factorization of 76013

Prime factors of 76013 are 7, 10859. Prime factorization of 76013 in exponential form is:

76013 = 7¹ × 10859¹

Step-3: Factors of 75999

List of positive integer factors of 75999 that divides 75999 without a remainder.

1, 3, 7, 11, 21, 33, 47, 49, 77, 141, 147, 231, 329, 517, 539, 987, 1551, 1617, 2303, 3619, 6909, 10857, 25333

Step-4: Factors of 76013

List of positive integer factors of 76013 that divides 75999 without a remainder.

1, 7, 10859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75999 and 76013. The biggest common factor number is the GCF number.
So the greatest common factor 75999 and 76013 is 7.

Also check out the Least Common Multiple of 75999 and 76013