What is the Greatest Common Factor of 72890 and 72894?

Greatest common factor (GCF) of 72890 and 72894 is 2.

GCF(72890,72894) = 2

We will now calculate the prime factors of 72890 and 72894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72890 and 72894.

How to find the GCF of 72890 and 72894?

We will first find the prime factorization of 72890 and 72894. After we will calculate the factors of 72890 and 72894 and find the biggest common factor number .

Step-1: Prime Factorization of 72890

Prime factors of 72890 are 2, 5, 37, 197. Prime factorization of 72890 in exponential form is:

72890 = 2¹ × 5¹ × 37¹ × 197¹

Step-2: Prime Factorization of 72894

Prime factors of 72894 are 2, 3, 12149. Prime factorization of 72894 in exponential form is:

72894 = 2¹ × 3¹ × 12149¹

Step-3: Factors of 72890

List of positive integer factors of 72890 that divides 72890 without a remainder.

1, 2, 5, 10, 37, 74, 185, 197, 370, 394, 985, 1970, 7289, 14578, 36445

Step-4: Factors of 72894

List of positive integer factors of 72894 that divides 72890 without a remainder.

1, 2, 3, 6, 12149, 24298, 36447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72890 and 72894. The biggest common factor number is the GCF number.
So the greatest common factor 72890 and 72894 is 2.

Also check out the Least Common Multiple of 72890 and 72894