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What is the Greatest Common Factor of 95040 and 95060?

Greatest common factor (GCF) of 95040 and 95060 is 20.

GCF(95040,95060) = 20

We will now calculate the prime factors of 95040 and 95060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95040 and 95060.

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How to find the GCF of 95040 and 95060?

We will first find the prime factorization of 95040 and 95060. After we will calculate the factors of 95040 and 95060 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 95060

Prime factors of 95060 are 2, 5, 7, 97. Prime factorization of 95060 in exponential form is:

95060 = 22 × 51 × 72 × 971

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 95060

List of positive integer factors of 95060 that divides 95040 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 97, 98, 140, 194, 196, 245, 388, 485, 490, 679, 970, 980, 1358, 1940, 2716, 3395, 4753, 6790, 9506, 13580, 19012, 23765, 47530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95040 and 95060. The biggest common factor number is the GCF number.
So the greatest common factor 95040 and 95060 is 20.

Also check out the Least Common Multiple of 95040 and 95060