What is the Greatest Common Factor of 87780 and 87784?

Greatest common factor (GCF) of 87780 and 87784 is 4.

GCF(87780,87784) = 4

We will now calculate the prime factors of 87780 and 87784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87780 and 87784.

How to find the GCF of 87780 and 87784?

We will first find the prime factorization of 87780 and 87784. After we will calculate the factors of 87780 and 87784 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 87784

Prime factors of 87784 are 2, 10973. Prime factorization of 87784 in exponential form is:

87784 = 2³ × 10973¹

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 87784

List of positive integer factors of 87784 that divides 87780 without a remainder.

1, 2, 4, 8, 10973, 21946, 43892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87780 and 87784. The biggest common factor number is the GCF number.
So the greatest common factor 87780 and 87784 is 4.

Also check out the Least Common Multiple of 87780 and 87784