What is the Greatest Common Factor of 92460 and 92470?

Greatest common factor (GCF) of 92460 and 92470 is 10.

GCF(92460,92470) = 10

We will now calculate the prime factors of 92460 and 92470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92460 and 92470.

How to find the GCF of 92460 and 92470?

We will first find the prime factorization of 92460 and 92470. After we will calculate the factors of 92460 and 92470 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 92470

Prime factors of 92470 are 2, 5, 7, 1321. Prime factorization of 92470 in exponential form is:

92470 = 2¹ × 5¹ × 7¹ × 1321¹

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 92470

List of positive integer factors of 92470 that divides 92460 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1321, 2642, 6605, 9247, 13210, 18494, 46235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92460 and 92470. The biggest common factor number is the GCF number.
So the greatest common factor 92460 and 92470 is 10.

Also check out the Least Common Multiple of 92460 and 92470