What is the Greatest Common Factor of 76050 and 76059?

Greatest common factor (GCF) of 76050 and 76059 is 9.

GCF(76050,76059) = 9

We will now calculate the prime factors of 76050 and 76059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76050 and 76059.

How to find the GCF of 76050 and 76059?

We will first find the prime factorization of 76050 and 76059. After we will calculate the factors of 76050 and 76059 and find the biggest common factor number .

Step-1: Prime Factorization of 76050

Prime factors of 76050 are 2, 3, 5, 13. Prime factorization of 76050 in exponential form is:

76050 = 2¹ × 3² × 5² × 13²

Step-2: Prime Factorization of 76059

Prime factors of 76059 are 3, 313. Prime factorization of 76059 in exponential form is:

76059 = 3⁵ × 313¹

Step-3: Factors of 76050

List of positive integer factors of 76050 that divides 76050 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 169, 195, 225, 234, 325, 338, 390, 450, 507, 585, 650, 845, 975, 1014, 1170, 1521, 1690, 1950, 2535, 2925, 3042, 4225, 5070, 5850, 7605, 8450, 12675, 15210, 25350, 38025

Step-4: Factors of 76059

List of positive integer factors of 76059 that divides 76050 without a remainder.

1, 3, 9, 27, 81, 243, 313, 939, 2817, 8451, 25353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76050 and 76059. The biggest common factor number is the GCF number.
So the greatest common factor 76050 and 76059 is 9.

Also check out the Least Common Multiple of 76050 and 76059