What is the Greatest Common Factor of 95745 and 95760?

Greatest common factor (GCF) of 95745 and 95760 is 15.

GCF(95745,95760) = 15

We will now calculate the prime factors of 95745 and 95760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95745 and 95760.

How to find the GCF of 95745 and 95760?

We will first find the prime factorization of 95745 and 95760. After we will calculate the factors of 95745 and 95760 and find the biggest common factor number .

Step-1: Prime Factorization of 95745

Prime factors of 95745 are 3, 5, 13, 491. Prime factorization of 95745 in exponential form is:

95745 = 3¹ × 5¹ × 13¹ × 491¹

Step-2: 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-3: Factors of 95745

List of positive integer factors of 95745 that divides 95745 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 491, 1473, 2455, 6383, 7365, 19149, 31915

Step-4: Factors of 95760

List of positive integer factors of 95760 that divides 95745 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95745 and 95760. The biggest common factor number is the GCF number.
So the greatest common factor 95745 and 95760 is 15.

Also check out the Least Common Multiple of 95745 and 95760