What is the Greatest Common Factor of 87780 and 87797?

Greatest common factor (GCF) of 87780 and 87797 is 1.

GCF(87780,87797) = 1

We will now calculate the prime factors of 87780 and 87797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87780 and 87797.

How to find the GCF of 87780 and 87797?

We will first find the prime factorization of 87780 and 87797. After we will calculate the factors of 87780 and 87797 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 87797

Prime factors of 87797 are 87797. Prime factorization of 87797 in exponential form is:

87797 = 87797¹

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 87797

List of positive integer factors of 87797 that divides 87780 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87780 and 87797. The biggest common factor number is the GCF number.
So the greatest common factor 87780 and 87797 is 1.

Also check out the Least Common Multiple of 87780 and 87797