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What is the Greatest Common Factor of 95760 and 95776?

Greatest common factor (GCF) of 95760 and 95776 is 16.

GCF(95760,95776) = 16

We will now calculate the prime factors of 95760 and 95776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95760 and 95776.

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How to find the GCF of 95760 and 95776?

We will first find the prime factorization of 95760 and 95776. After we will calculate the factors of 95760 and 95776 and find the biggest common factor number .

Step-1: Prime Factorization of 95760

Prime factors of 95760 are 2, 3, 5, 7, 19. Prime factorization of 95760 in exponential form is:

95760 = 24 × 32 × 51 × 71 × 191

Step-2: Prime Factorization of 95776

Prime factors of 95776 are 2, 41, 73. Prime factorization of 95776 in exponential form is:

95776 = 25 × 411 × 731

Step-3: Factors of 95760

List of positive integer factors of 95760 that divides 95760 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 19, 20, 21, 24, 28, 30, 35, 36, 38, 40, 42, 45, 48, 56, 57, 60, 63, 70, 72, 76, 80, 84, 90, 95, 105, 112, 114, 120, 126, 133, 140, 144, 152, 168, 171, 180, 190, 210, 228, 240, 252, 266, 280, 285, 304, 315, 336, 342, 360, 380, 399, 420, 456, 504, 532, 560, 570, 630, 665, 684, 720, 760, 798, 840, 855, 912, 1008, 1064, 1140, 1197, 1260, 1330, 1368, 1520, 1596, 1680, 1710, 1995, 2128, 2280, 2394, 2520, 2660, 2736, 3192, 3420, 3990, 4560, 4788, 5040, 5320, 5985, 6384, 6840, 7980, 9576, 10640, 11970, 13680, 15960, 19152, 23940, 31920, 47880

Step-4: Factors of 95776

List of positive integer factors of 95776 that divides 95760 without a remainder.

1, 2, 4, 8, 16, 32, 41, 73, 82, 146, 164, 292, 328, 584, 656, 1168, 1312, 2336, 2993, 5986, 11972, 23944, 47888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95760 and 95776. The biggest common factor number is the GCF number.
So the greatest common factor 95760 and 95776 is 16.

Also check out the Least Common Multiple of 95760 and 95776