What is the Greatest Common Factor of 92460 and 92465?

Greatest common factor (GCF) of 92460 and 92465 is 5.

GCF(92460,92465) = 5

We will now calculate the prime factors of 92460 and 92465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92460 and 92465.

How to find the GCF of 92460 and 92465?

We will first find the prime factorization of 92460 and 92465. After we will calculate the factors of 92460 and 92465 and find the biggest common factor number .

Step-1: Prime Factorization of 92460

Prime factors of 92460 are 2, 3, 5, 23, 67. Prime factorization of 92460 in exponential form is:

92460 = 2² × 3¹ × 5¹ × 23¹ × 67¹

Step-2: Prime Factorization of 92465

Prime factors of 92465 are 5, 18493. Prime factorization of 92465 in exponential form is:

92465 = 5¹ × 18493¹

Step-3: Factors of 92460

List of positive integer factors of 92460 that divides 92460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 67, 69, 92, 115, 134, 138, 201, 230, 268, 276, 335, 345, 402, 460, 670, 690, 804, 1005, 1340, 1380, 1541, 2010, 3082, 4020, 4623, 6164, 7705, 9246, 15410, 18492, 23115, 30820, 46230

Step-4: Factors of 92465

List of positive integer factors of 92465 that divides 92460 without a remainder.

1, 5, 18493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92460 and 92465. The biggest common factor number is the GCF number.
So the greatest common factor 92460 and 92465 is 5.

Also check out the Least Common Multiple of 92460 and 92465