What is the Greatest Common Factor of 95760 and 95765?

Greatest common factor (GCF) of 95760 and 95765 is 5.

GCF(95760,95765) = 5

We will now calculate the prime factors of 95760 and 95765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95760 and 95765.

How to find the GCF of 95760 and 95765?

We will first find the prime factorization of 95760 and 95765. After we will calculate the factors of 95760 and 95765 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 95765

Prime factors of 95765 are 5, 107, 179. Prime factorization of 95765 in exponential form is:

95765 = 5¹ × 107¹ × 179¹

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 95765

List of positive integer factors of 95765 that divides 95760 without a remainder.

1, 5, 107, 179, 535, 895, 19153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95760 and 95765. The biggest common factor number is the GCF number.
So the greatest common factor 95760 and 95765 is 5.

Also check out the Least Common Multiple of 95760 and 95765