What is the Greatest Common Factor of 76200 and 76213?

Greatest common factor (GCF) of 76200 and 76213 is 1.

GCF(76200,76213) = 1

We will now calculate the prime factors of 76200 and 76213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76200 and 76213.

How to find the GCF of 76200 and 76213?

We will first find the prime factorization of 76200 and 76213. After we will calculate the factors of 76200 and 76213 and find the biggest common factor number .

Step-1: Prime Factorization of 76200

Prime factors of 76200 are 2, 3, 5, 127. Prime factorization of 76200 in exponential form is:

76200 = 2³ × 3¹ × 5² × 127¹

Step-2: Prime Factorization of 76213

Prime factors of 76213 are 76213. Prime factorization of 76213 in exponential form is:

76213 = 76213¹

Step-3: Factors of 76200

List of positive integer factors of 76200 that divides 76200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 127, 150, 200, 254, 300, 381, 508, 600, 635, 762, 1016, 1270, 1524, 1905, 2540, 3048, 3175, 3810, 5080, 6350, 7620, 9525, 12700, 15240, 19050, 25400, 38100

Step-4: Factors of 76213

List of positive integer factors of 76213 that divides 76200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76200 and 76213. The biggest common factor number is the GCF number.
So the greatest common factor 76200 and 76213 is 1.

Also check out the Least Common Multiple of 76200 and 76213