What is the Greatest Common Factor of 92460 and 92471?

Greatest common factor (GCF) of 92460 and 92471 is 1.

GCF(92460,92471) = 1

We will now calculate the prime factors of 92460 and 92471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92460 and 92471.

How to find the GCF of 92460 and 92471?

We will first find the prime factorization of 92460 and 92471. After we will calculate the factors of 92460 and 92471 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 92471

Prime factors of 92471 are 89, 1039. Prime factorization of 92471 in exponential form is:

92471 = 89¹ × 1039¹

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 92471

List of positive integer factors of 92471 that divides 92460 without a remainder.

1, 89, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92460 and 92471. The biggest common factor number is the GCF number.
So the greatest common factor 92460 and 92471 is 1.

Also check out the Least Common Multiple of 92460 and 92471