What is the Greatest Common Factor of 72574 and 72586?

Greatest common factor (GCF) of 72574 and 72586 is 2.

GCF(72574,72586) = 2

We will now calculate the prime factors of 72574 and 72586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72574 and 72586.

How to find the GCF of 72574 and 72586?

We will first find the prime factorization of 72574 and 72586. After we will calculate the factors of 72574 and 72586 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72586

Prime factors of 72586 are 2, 36293. Prime factorization of 72586 in exponential form is:

72586 = 2¹ × 36293¹

Step-3: Factors of 72574

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

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

Step-4: Factors of 72586

List of positive integer factors of 72586 that divides 72574 without a remainder.

1, 2, 36293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72574 and 72586. The biggest common factor number is the GCF number.
So the greatest common factor 72574 and 72586 is 2.

Also check out the Least Common Multiple of 72574 and 72586