What is the Greatest Common Factor of 94240 and 94256?

Greatest common factor (GCF) of 94240 and 94256 is 16.

GCF(94240,94256) = 16

We will now calculate the prime factors of 94240 and 94256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94240 and 94256.

How to find the GCF of 94240 and 94256?

We will first find the prime factorization of 94240 and 94256. After we will calculate the factors of 94240 and 94256 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94256

Prime factors of 94256 are 2, 43, 137. Prime factorization of 94256 in exponential form is:

94256 = 2⁴ × 43¹ × 137¹

Step-3: Factors of 94240

List of positive integer factors of 94240 that divides 94240 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

Step-4: Factors of 94256

List of positive integer factors of 94256 that divides 94240 without a remainder.

1, 2, 4, 8, 16, 43, 86, 137, 172, 274, 344, 548, 688, 1096, 2192, 5891, 11782, 23564, 47128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94240 and 94256. The biggest common factor number is the GCF number.
So the greatest common factor 94240 and 94256 is 16.

Also check out the Least Common Multiple of 94240 and 94256