What is the Greatest Common Factor of 92450 and 92460?

Greatest common factor (GCF) of 92450 and 92460 is 10.

GCF(92450,92460) = 10

We will now calculate the prime factors of 92450 and 92460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92450 and 92460.

How to find the GCF of 92450 and 92460?

We will first find the prime factorization of 92450 and 92460. After we will calculate the factors of 92450 and 92460 and find the biggest common factor number .

Step-1: Prime Factorization of 92450

Prime factors of 92450 are 2, 5, 43. Prime factorization of 92450 in exponential form is:

92450 = 2¹ × 5² × 43²

Step-2: 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-3: Factors of 92450

List of positive integer factors of 92450 that divides 92450 without a remainder.

1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 1849, 2150, 3698, 9245, 18490, 46225

Step-4: Factors of 92460

List of positive integer factors of 92460 that divides 92450 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92450 and 92460. The biggest common factor number is the GCF number.
So the greatest common factor 92450 and 92460 is 10.

Also check out the Least Common Multiple of 92450 and 92460