What is the Greatest Common Factor of 87780 and 87795?

Greatest common factor (GCF) of 87780 and 87795 is 15.

GCF(87780,87795) = 15

We will now calculate the prime factors of 87780 and 87795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87780 and 87795.

How to find the GCF of 87780 and 87795?

We will first find the prime factorization of 87780 and 87795. After we will calculate the factors of 87780 and 87795 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 87795

Prime factors of 87795 are 3, 5, 1951. Prime factorization of 87795 in exponential form is:

87795 = 3² × 5¹ × 1951¹

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 87795

List of positive integer factors of 87795 that divides 87780 without a remainder.

1, 3, 5, 9, 15, 45, 1951, 5853, 9755, 17559, 29265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87780 and 87795. The biggest common factor number is the GCF number.
So the greatest common factor 87780 and 87795 is 15.

Also check out the Least Common Multiple of 87780 and 87795