What is the Greatest Common Factor of 95028 and 95040?

Greatest common factor (GCF) of 95028 and 95040 is 12.

GCF(95028,95040) = 12

We will now calculate the prime factors of 95028 and 95040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95028 and 95040.

How to find the GCF of 95028 and 95040?

We will first find the prime factorization of 95028 and 95040. After we will calculate the factors of 95028 and 95040 and find the biggest common factor number .

Step-1: Prime Factorization of 95028

Prime factors of 95028 are 2, 3, 7919. Prime factorization of 95028 in exponential form is:

95028 = 2² × 3¹ × 7919¹

Step-2: Prime Factorization of 95040

Prime factors of 95040 are 2, 3, 5, 11. Prime factorization of 95040 in exponential form is:

95040 = 2⁶ × 3³ × 5¹ × 11¹

Step-3: Factors of 95028

List of positive integer factors of 95028 that divides 95028 without a remainder.

1, 2, 3, 4, 6, 12, 7919, 15838, 23757, 31676, 47514

Step-4: Factors of 95040

List of positive integer factors of 95040 that divides 95028 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 27, 30, 32, 33, 36, 40, 44, 45, 48, 54, 55, 60, 64, 66, 72, 80, 88, 90, 96, 99, 108, 110, 120, 132, 135, 144, 160, 165, 176, 180, 192, 198, 216, 220, 240, 264, 270, 288, 297, 320, 330, 352, 360, 396, 432, 440, 480, 495, 528, 540, 576, 594, 660, 704, 720, 792, 864, 880, 960, 990, 1056, 1080, 1188, 1320, 1440, 1485, 1584, 1728, 1760, 1980, 2112, 2160, 2376, 2640, 2880, 2970, 3168, 3520, 3960, 4320, 4752, 5280, 5940, 6336, 7920, 8640, 9504, 10560, 11880, 15840, 19008, 23760, 31680, 47520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95028 and 95040. The biggest common factor number is the GCF number.
So the greatest common factor 95028 and 95040 is 12.

Also check out the Least Common Multiple of 95028 and 95040