What is the Greatest Common Factor of 74522 and 74539?

Greatest common factor (GCF) of 74522 and 74539 is 1.

GCF(74522,74539) = 1

We will now calculate the prime factors of 74522 and 74539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74522 and 74539.

How to find the GCF of 74522 and 74539?

We will first find the prime factorization of 74522 and 74539. After we will calculate the factors of 74522 and 74539 and find the biggest common factor number .

Step-1: Prime Factorization of 74522

Prime factors of 74522 are 2, 7, 5323. Prime factorization of 74522 in exponential form is:

74522 = 2¹ × 7¹ × 5323¹

Step-2: Prime Factorization of 74539

Prime factors of 74539 are 131, 569. Prime factorization of 74539 in exponential form is:

74539 = 131¹ × 569¹

Step-3: Factors of 74522

List of positive integer factors of 74522 that divides 74522 without a remainder.

1, 2, 7, 14, 5323, 10646, 37261

Step-4: Factors of 74539

List of positive integer factors of 74539 that divides 74522 without a remainder.

1, 131, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74522 and 74539. The biggest common factor number is the GCF number.
So the greatest common factor 74522 and 74539 is 1.

Also check out the Least Common Multiple of 74522 and 74539