What is the Greatest Common Factor of 78540 and 78560?

Greatest common factor (GCF) of 78540 and 78560 is 20.

GCF(78540,78560) = 20

We will now calculate the prime factors of 78540 and 78560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78540 and 78560.

How to find the GCF of 78540 and 78560?

We will first find the prime factorization of 78540 and 78560. After we will calculate the factors of 78540 and 78560 and find the biggest common factor number .

Step-1: Prime Factorization of 78540

Prime factors of 78540 are 2, 3, 5, 7, 11, 17. Prime factorization of 78540 in exponential form is:

78540 = 2² × 3¹ × 5¹ × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 78560

Prime factors of 78560 are 2, 5, 491. Prime factorization of 78560 in exponential form is:

78560 = 2⁵ × 5¹ × 491¹

Step-3: Factors of 78540

List of positive integer factors of 78540 that divides 78540 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 17, 20, 21, 22, 28, 30, 33, 34, 35, 42, 44, 51, 55, 60, 66, 68, 70, 77, 84, 85, 102, 105, 110, 119, 132, 140, 154, 165, 170, 187, 204, 210, 220, 231, 238, 255, 308, 330, 340, 357, 374, 385, 420, 462, 476, 510, 561, 595, 660, 714, 748, 770, 924, 935, 1020, 1122, 1155, 1190, 1309, 1428, 1540, 1785, 1870, 2244, 2310, 2380, 2618, 2805, 3570, 3740, 3927, 4620, 5236, 5610, 6545, 7140, 7854, 11220, 13090, 15708, 19635, 26180, 39270

Step-4: Factors of 78560

List of positive integer factors of 78560 that divides 78540 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 491, 982, 1964, 2455, 3928, 4910, 7856, 9820, 15712, 19640, 39280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78540 and 78560. The biggest common factor number is the GCF number.
So the greatest common factor 78540 and 78560 is 20.

Also check out the Least Common Multiple of 78540 and 78560