What is the Greatest Common Factor of 87780 and 87799?

Greatest common factor (GCF) of 87780 and 87799 is 19.

GCF(87780,87799) = 19

We will now calculate the prime factors of 87780 and 87799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87780 and 87799.

How to find the GCF of 87780 and 87799?

We will first find the prime factorization of 87780 and 87799. After we will calculate the factors of 87780 and 87799 and find the biggest common factor number .

Step-1: Prime Factorization of 87780

Prime factors of 87780 are 2, 3, 5, 7, 11, 19. Prime factorization of 87780 in exponential form is:

87780 = 2² × 3¹ × 5¹ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 87799

Prime factors of 87799 are 19, 4621. Prime factorization of 87799 in exponential form is:

87799 = 19¹ × 4621¹

Step-3: Factors of 87780

List of positive integer factors of 87780 that divides 87780 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 19, 20, 21, 22, 28, 30, 33, 35, 38, 42, 44, 55, 57, 60, 66, 70, 76, 77, 84, 95, 105, 110, 114, 132, 133, 140, 154, 165, 190, 209, 210, 220, 228, 231, 266, 285, 308, 330, 380, 385, 399, 418, 420, 462, 532, 570, 627, 660, 665, 770, 798, 836, 924, 1045, 1140, 1155, 1254, 1330, 1463, 1540, 1596, 1995, 2090, 2310, 2508, 2660, 2926, 3135, 3990, 4180, 4389, 4620, 5852, 6270, 7315, 7980, 8778, 12540, 14630, 17556, 21945, 29260, 43890

Step-4: Factors of 87799

List of positive integer factors of 87799 that divides 87780 without a remainder.

1, 19, 4621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87780 and 87799. The biggest common factor number is the GCF number.
So the greatest common factor 87780 and 87799 is 19.

Also check out the Least Common Multiple of 87780 and 87799