What is the Greatest Common Factor of 94225 and 94240?

Greatest common factor (GCF) of 94225 and 94240 is 5.

GCF(94225,94240) = 5

We will now calculate the prime factors of 94225 and 94240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94225 and 94240.

How to find the GCF of 94225 and 94240?

We will first find the prime factorization of 94225 and 94240. After we will calculate the factors of 94225 and 94240 and find the biggest common factor number .

Step-1: Prime Factorization of 94225

Prime factors of 94225 are 5, 3769. Prime factorization of 94225 in exponential form is:

94225 = 5² × 3769¹

Step-2: Prime Factorization of 94240

Prime factors of 94240 are 2, 5, 19, 31. Prime factorization of 94240 in exponential form is:

94240 = 2⁵ × 5¹ × 19¹ × 31¹

Step-3: Factors of 94225

List of positive integer factors of 94225 that divides 94225 without a remainder.

1, 5, 25, 3769, 18845

Step-4: Factors of 94240

List of positive integer factors of 94240 that divides 94225 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 31, 32, 38, 40, 62, 76, 80, 95, 124, 152, 155, 160, 190, 248, 304, 310, 380, 496, 589, 608, 620, 760, 992, 1178, 1240, 1520, 2356, 2480, 2945, 3040, 4712, 4960, 5890, 9424, 11780, 18848, 23560, 47120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94225 and 94240. The biggest common factor number is the GCF number.
So the greatest common factor 94225 and 94240 is 5.

Also check out the Least Common Multiple of 94225 and 94240