What is the Greatest Common Factor of 76282 and 76300?

Greatest common factor (GCF) of 76282 and 76300 is 2.

GCF(76282,76300) = 2

We will now calculate the prime factors of 76282 and 76300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76282 and 76300.

How to find the GCF of 76282 and 76300?

We will first find the prime factorization of 76282 and 76300. After we will calculate the factors of 76282 and 76300 and find the biggest common factor number .

Step-1: Prime Factorization of 76282

Prime factors of 76282 are 2, 43, 887. Prime factorization of 76282 in exponential form is:

76282 = 2¹ × 43¹ × 887¹

Step-2: Prime Factorization of 76300

Prime factors of 76300 are 2, 5, 7, 109. Prime factorization of 76300 in exponential form is:

76300 = 2² × 5² × 7¹ × 109¹

Step-3: Factors of 76282

List of positive integer factors of 76282 that divides 76282 without a remainder.

1, 2, 43, 86, 887, 1774, 38141

Step-4: Factors of 76300

List of positive integer factors of 76300 that divides 76282 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 109, 140, 175, 218, 350, 436, 545, 700, 763, 1090, 1526, 2180, 2725, 3052, 3815, 5450, 7630, 10900, 15260, 19075, 38150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76282 and 76300. The biggest common factor number is the GCF number.
So the greatest common factor 76282 and 76300 is 2.

Also check out the Least Common Multiple of 76282 and 76300