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What is the Greatest Common Factor of 95760 and 95772?

Greatest common factor (GCF) of 95760 and 95772 is 12.

GCF(95760,95772) = 12

We will now calculate the prime factors of 95760 and 95772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95760 and 95772.

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How to find the GCF of 95760 and 95772?

We will first find the prime factorization of 95760 and 95772. After we will calculate the factors of 95760 and 95772 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 95772

Prime factors of 95772 are 2, 3, 23, 347. Prime factorization of 95772 in exponential form is:

95772 = 22 × 31 × 231 × 3471

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 95772

List of positive integer factors of 95772 that divides 95760 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 347, 694, 1041, 1388, 2082, 4164, 7981, 15962, 23943, 31924, 47886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95760 and 95772. The biggest common factor number is the GCF number.
So the greatest common factor 95760 and 95772 is 12.

Also check out the Least Common Multiple of 95760 and 95772