What is the Greatest Common Factor of 92538 and 92550?

Greatest common factor (GCF) of 92538 and 92550 is 6.

GCF(92538,92550) = 6

We will now calculate the prime factors of 92538 and 92550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92538 and 92550.

How to find the GCF of 92538 and 92550?

We will first find the prime factorization of 92538 and 92550. After we will calculate the factors of 92538 and 92550 and find the biggest common factor number .

Step-1: Prime Factorization of 92538

Prime factors of 92538 are 2, 3, 53, 97. Prime factorization of 92538 in exponential form is:

92538 = 2¹ × 3² × 53¹ × 97¹

Step-2: Prime Factorization of 92550

Prime factors of 92550 are 2, 3, 5, 617. Prime factorization of 92550 in exponential form is:

92550 = 2¹ × 3¹ × 5² × 617¹

Step-3: Factors of 92538

List of positive integer factors of 92538 that divides 92538 without a remainder.

1, 2, 3, 6, 9, 18, 53, 97, 106, 159, 194, 291, 318, 477, 582, 873, 954, 1746, 5141, 10282, 15423, 30846, 46269

Step-4: Factors of 92550

List of positive integer factors of 92550 that divides 92538 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 617, 1234, 1851, 3085, 3702, 6170, 9255, 15425, 18510, 30850, 46275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92538 and 92550. The biggest common factor number is the GCF number.
So the greatest common factor 92538 and 92550 is 6.

Also check out the Least Common Multiple of 92538 and 92550