What is the Greatest Common Factor of 75880 and 75899?

Greatest common factor (GCF) of 75880 and 75899 is 1.

GCF(75880,75899) = 1

We will now calculate the prime factors of 75880 and 75899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75880 and 75899.

How to find the GCF of 75880 and 75899?

We will first find the prime factorization of 75880 and 75899. After we will calculate the factors of 75880 and 75899 and find the biggest common factor number .

Step-1: Prime Factorization of 75880

Prime factors of 75880 are 2, 5, 7, 271. Prime factorization of 75880 in exponential form is:

75880 = 2³ × 5¹ × 7¹ × 271¹

Step-2: Prime Factorization of 75899

Prime factors of 75899 are 71, 1069. Prime factorization of 75899 in exponential form is:

75899 = 71¹ × 1069¹

Step-3: Factors of 75880

List of positive integer factors of 75880 that divides 75880 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 271, 280, 542, 1084, 1355, 1897, 2168, 2710, 3794, 5420, 7588, 9485, 10840, 15176, 18970, 37940

Step-4: Factors of 75899

List of positive integer factors of 75899 that divides 75880 without a remainder.

1, 71, 1069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75880 and 75899. The biggest common factor number is the GCF number.
So the greatest common factor 75880 and 75899 is 1.

Also check out the Least Common Multiple of 75880 and 75899