What is the Greatest Common Factor of 78540 and 78551?

Greatest common factor (GCF) of 78540 and 78551 is 11.

GCF(78540,78551) = 11

We will now calculate the prime factors of 78540 and 78551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78540 and 78551.

How to find the GCF of 78540 and 78551?

We will first find the prime factorization of 78540 and 78551. After we will calculate the factors of 78540 and 78551 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 78551

Prime factors of 78551 are 11, 37, 193. Prime factorization of 78551 in exponential form is:

78551 = 11¹ × 37¹ × 193¹

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 78551

List of positive integer factors of 78551 that divides 78540 without a remainder.

1, 11, 37, 193, 407, 2123, 7141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78540 and 78551. The biggest common factor number is the GCF number.
So the greatest common factor 78540 and 78551 is 11.

Also check out the Least Common Multiple of 78540 and 78551