What is the Greatest Common Factor of 94250 and 94260?

Greatest common factor (GCF) of 94250 and 94260 is 10.

GCF(94250,94260) = 10

We will now calculate the prime factors of 94250 and 94260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94250 and 94260.

How to find the GCF of 94250 and 94260?

We will first find the prime factorization of 94250 and 94260. After we will calculate the factors of 94250 and 94260 and find the biggest common factor number .

Step-1: Prime Factorization of 94250

Prime factors of 94250 are 2, 5, 13, 29. Prime factorization of 94250 in exponential form is:

94250 = 2¹ × 5³ × 13¹ × 29¹

Step-2: Prime Factorization of 94260

Prime factors of 94260 are 2, 3, 5, 1571. Prime factorization of 94260 in exponential form is:

94260 = 2² × 3¹ × 5¹ × 1571¹

Step-3: Factors of 94250

List of positive integer factors of 94250 that divides 94250 without a remainder.

1, 2, 5, 10, 13, 25, 26, 29, 50, 58, 65, 125, 130, 145, 250, 290, 325, 377, 650, 725, 754, 1450, 1625, 1885, 3250, 3625, 3770, 7250, 9425, 18850, 47125

Step-4: Factors of 94260

List of positive integer factors of 94260 that divides 94250 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1571, 3142, 4713, 6284, 7855, 9426, 15710, 18852, 23565, 31420, 47130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94250 and 94260. The biggest common factor number is the GCF number.
So the greatest common factor 94250 and 94260 is 10.

Also check out the Least Common Multiple of 94250 and 94260