What is the Greatest Common Factor of 95040 and 95049?

Greatest common factor (GCF) of 95040 and 95049 is 9.

GCF(95040,95049) = 9

We will now calculate the prime factors of 95040 and 95049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95040 and 95049.

How to find the GCF of 95040 and 95049?

We will first find the prime factorization of 95040 and 95049. After we will calculate the factors of 95040 and 95049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95049

Prime factors of 95049 are 3, 59, 179. Prime factorization of 95049 in exponential form is:

95049 = 3² × 59¹ × 179¹

Step-3: Factors of 95040

List of positive integer factors of 95040 that divides 95040 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

Step-4: Factors of 95049

List of positive integer factors of 95049 that divides 95040 without a remainder.

1, 3, 9, 59, 177, 179, 531, 537, 1611, 10561, 31683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95040 and 95049. The biggest common factor number is the GCF number.
So the greatest common factor 95040 and 95049 is 9.

Also check out the Least Common Multiple of 95040 and 95049