What is the Greatest Common Factor of 95760 and 95780?

Greatest common factor (GCF) of 95760 and 95780 is 20.

GCF(95760,95780) = 20

We will now calculate the prime factors of 95760 and 95780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95760 and 95780.

How to find the GCF of 95760 and 95780?

We will first find the prime factorization of 95760 and 95780. After we will calculate the factors of 95760 and 95780 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 95780

Prime factors of 95780 are 2, 5, 4789. Prime factorization of 95780 in exponential form is:

95780 = 2² × 5¹ × 4789¹

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 95780

List of positive integer factors of 95780 that divides 95760 without a remainder.

1, 2, 4, 5, 10, 20, 4789, 9578, 19156, 23945, 47890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95760 and 95780. The biggest common factor number is the GCF number.
So the greatest common factor 95760 and 95780 is 20.

Also check out the Least Common Multiple of 95760 and 95780