What is the Greatest Common Factor of 72568 and 72574?

Greatest common factor (GCF) of 72568 and 72574 is 2.

GCF(72568,72574) = 2

We will now calculate the prime factors of 72568 and 72574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72568 and 72574.

How to find the GCF of 72568 and 72574?

We will first find the prime factorization of 72568 and 72574. After we will calculate the factors of 72568 and 72574 and find the biggest common factor number .

Step-1: Prime Factorization of 72568

Prime factors of 72568 are 2, 47, 193. Prime factorization of 72568 in exponential form is:

72568 = 2³ × 47¹ × 193¹

Step-2: Prime Factorization of 72574

Prime factors of 72574 are 2, 131, 277. Prime factorization of 72574 in exponential form is:

72574 = 2¹ × 131¹ × 277¹

Step-3: Factors of 72568

List of positive integer factors of 72568 that divides 72568 without a remainder.

1, 2, 4, 8, 47, 94, 188, 193, 376, 386, 772, 1544, 9071, 18142, 36284

Step-4: Factors of 72574

List of positive integer factors of 72574 that divides 72568 without a remainder.

1, 2, 131, 262, 277, 554, 36287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72568 and 72574. The biggest common factor number is the GCF number.
So the greatest common factor 72568 and 72574 is 2.

Also check out the Least Common Multiple of 72568 and 72574