What is the Greatest Common Factor of 94230 and 94240?

Greatest common factor (GCF) of 94230 and 94240 is 10.

GCF(94230,94240) = 10

We will now calculate the prime factors of 94230 and 94240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94230 and 94240.

How to find the GCF of 94230 and 94240?

We will first find the prime factorization of 94230 and 94240. After we will calculate the factors of 94230 and 94240 and find the biggest common factor number .

Step-1: Prime Factorization of 94230

Prime factors of 94230 are 2, 3, 5, 349. Prime factorization of 94230 in exponential form is:

94230 = 2¹ × 3³ × 5¹ × 349¹

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 94230

List of positive integer factors of 94230 that divides 94230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 349, 698, 1047, 1745, 2094, 3141, 3490, 5235, 6282, 9423, 10470, 15705, 18846, 31410, 47115

Step-4: Factors of 94240

List of positive integer factors of 94240 that divides 94230 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 94230 and 94240. The biggest common factor number is the GCF number.
So the greatest common factor 94230 and 94240 is 10.

Also check out the Least Common Multiple of 94230 and 94240