What is the Greatest Common Factor of 72286 and 72300?

Greatest common factor (GCF) of 72286 and 72300 is 2.

GCF(72286,72300) = 2

We will now calculate the prime factors of 72286 and 72300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72286 and 72300.

How to find the GCF of 72286 and 72300?

We will first find the prime factorization of 72286 and 72300. After we will calculate the factors of 72286 and 72300 and find the biggest common factor number .

Step-1: Prime Factorization of 72286

Prime factors of 72286 are 2, 47, 769. Prime factorization of 72286 in exponential form is:

72286 = 2¹ × 47¹ × 769¹

Step-2: Prime Factorization of 72300

Prime factors of 72300 are 2, 3, 5, 241. Prime factorization of 72300 in exponential form is:

72300 = 2² × 3¹ × 5² × 241¹

Step-3: Factors of 72286

List of positive integer factors of 72286 that divides 72286 without a remainder.

1, 2, 47, 94, 769, 1538, 36143

Step-4: Factors of 72300

List of positive integer factors of 72300 that divides 72286 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 241, 300, 482, 723, 964, 1205, 1446, 2410, 2892, 3615, 4820, 6025, 7230, 12050, 14460, 18075, 24100, 36150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72286 and 72300. The biggest common factor number is the GCF number.
So the greatest common factor 72286 and 72300 is 2.

Also check out the Least Common Multiple of 72286 and 72300