What is the Greatest Common Factor of 76492 and 76500?

Greatest common factor (GCF) of 76492 and 76500 is 4.

GCF(76492,76500) = 4

We will now calculate the prime factors of 76492 and 76500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76492 and 76500.

How to find the GCF of 76492 and 76500?

We will first find the prime factorization of 76492 and 76500. After we will calculate the factors of 76492 and 76500 and find the biggest common factor number .

Step-1: Prime Factorization of 76492

Prime factors of 76492 are 2, 13, 1471. Prime factorization of 76492 in exponential form is:

76492 = 2² × 13¹ × 1471¹

Step-2: Prime Factorization of 76500

Prime factors of 76500 are 2, 3, 5, 17. Prime factorization of 76500 in exponential form is:

76500 = 2² × 3² × 5³ × 17¹

Step-3: Factors of 76492

List of positive integer factors of 76492 that divides 76492 without a remainder.

1, 2, 4, 13, 26, 52, 1471, 2942, 5884, 19123, 38246

Step-4: Factors of 76500

List of positive integer factors of 76500 that divides 76492 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 25, 30, 34, 36, 45, 50, 51, 60, 68, 75, 85, 90, 100, 102, 125, 150, 153, 170, 180, 204, 225, 250, 255, 300, 306, 340, 375, 425, 450, 500, 510, 612, 750, 765, 850, 900, 1020, 1125, 1275, 1500, 1530, 1700, 2125, 2250, 2550, 3060, 3825, 4250, 4500, 5100, 6375, 7650, 8500, 12750, 15300, 19125, 25500, 38250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76492 and 76500. The biggest common factor number is the GCF number.
So the greatest common factor 76492 and 76500 is 4.

Also check out the Least Common Multiple of 76492 and 76500