What is the Greatest Common Factor of 95760 and 95768?

Greatest common factor (GCF) of 95760 and 95768 is 8.

GCF(95760,95768) = 8

We will now calculate the prime factors of 95760 and 95768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95760 and 95768.

How to find the GCF of 95760 and 95768?

We will first find the prime factorization of 95760 and 95768. After we will calculate the factors of 95760 and 95768 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 95768

Prime factors of 95768 are 2, 11971. Prime factorization of 95768 in exponential form is:

95768 = 2³ × 11971¹

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 95768

List of positive integer factors of 95768 that divides 95760 without a remainder.

1, 2, 4, 8, 11971, 23942, 47884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95760 and 95768. The biggest common factor number is the GCF number.
So the greatest common factor 95760 and 95768 is 8.

Also check out the Least Common Multiple of 95760 and 95768