What is the Greatest Common Factor of 72574 and 72583?

Greatest common factor (GCF) of 72574 and 72583 is 1.

GCF(72574,72583) = 1

We will now calculate the prime factors of 72574 and 72583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72574 and 72583.

How to find the GCF of 72574 and 72583?

We will first find the prime factorization of 72574 and 72583. After we will calculate the factors of 72574 and 72583 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 72583

Prime factors of 72583 are 7, 10369. Prime factorization of 72583 in exponential form is:

72583 = 7¹ × 10369¹

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 72583

List of positive integer factors of 72583 that divides 72574 without a remainder.

1, 7, 10369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72574 and 72583. The biggest common factor number is the GCF number.
So the greatest common factor 72574 and 72583 is 1.

Also check out the Least Common Multiple of 72574 and 72583