What is the Greatest Common Factor of 87780 and 87791?

Greatest common factor (GCF) of 87780 and 87791 is 11.

GCF(87780,87791) = 11

We will now calculate the prime factors of 87780 and 87791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87780 and 87791.

How to find the GCF of 87780 and 87791?

We will first find the prime factorization of 87780 and 87791. After we will calculate the factors of 87780 and 87791 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 87791

Prime factors of 87791 are 11, 23, 347. Prime factorization of 87791 in exponential form is:

87791 = 11¹ × 23¹ × 347¹

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 87791

List of positive integer factors of 87791 that divides 87780 without a remainder.

1, 11, 23, 253, 347, 3817, 7981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87780 and 87791. The biggest common factor number is the GCF number.
So the greatest common factor 87780 and 87791 is 11.

Also check out the Least Common Multiple of 87780 and 87791