What is the Greatest Common Factor of 95760 and 95779?

Greatest common factor (GCF) of 95760 and 95779 is 19.

GCF(95760,95779) = 19

We will now calculate the prime factors of 95760 and 95779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95760 and 95779.

How to find the GCF of 95760 and 95779?

We will first find the prime factorization of 95760 and 95779. After we will calculate the factors of 95760 and 95779 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 95779

Prime factors of 95779 are 19, 71. Prime factorization of 95779 in exponential form is:

95779 = 19¹ × 71²

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 95779

List of positive integer factors of 95779 that divides 95760 without a remainder.

1, 19, 71, 1349, 5041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95760 and 95779. The biggest common factor number is the GCF number.
So the greatest common factor 95760 and 95779 is 19.

Also check out the Least Common Multiple of 95760 and 95779