What is the Greatest Common Factor of 72569 and 72574?

Greatest common factor (GCF) of 72569 and 72574 is 1.

GCF(72569,72574) = 1

We will now calculate the prime factors of 72569 and 72574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72569 and 72574.

How to find the GCF of 72569 and 72574?

We will first find the prime factorization of 72569 and 72574. After we will calculate the factors of 72569 and 72574 and find the biggest common factor number .

Step-1: Prime Factorization of 72569

Prime factors of 72569 are 7, 1481. Prime factorization of 72569 in exponential form is:

72569 = 7² × 1481¹

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 72569

List of positive integer factors of 72569 that divides 72569 without a remainder.

1, 7, 49, 1481, 10367

Step-4: Factors of 72574

List of positive integer factors of 72574 that divides 72569 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72569 and 72574. The biggest common factor number is the GCF number.
So the greatest common factor 72569 and 72574 is 1.

Also check out the Least Common Multiple of 72569 and 72574