What is the Greatest Common Factor of 67760 and 67778?

Greatest common factor (GCF) of 67760 and 67778 is 2.

GCF(67760,67778) = 2

We will now calculate the prime factors of 67760 and 67778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67760 and 67778.

How to find the GCF of 67760 and 67778?

We will first find the prime factorization of 67760 and 67778. After we will calculate the factors of 67760 and 67778 and find the biggest common factor number .

Step-1: Prime Factorization of 67760

Prime factors of 67760 are 2, 5, 7, 11. Prime factorization of 67760 in exponential form is:

67760 = 2⁴ × 5¹ × 7¹ × 11²

Step-2: Prime Factorization of 67778

Prime factors of 67778 are 2, 33889. Prime factorization of 67778 in exponential form is:

67778 = 2¹ × 33889¹

Step-3: Factors of 67760

List of positive integer factors of 67760 that divides 67760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 121, 140, 154, 176, 220, 242, 280, 308, 385, 440, 484, 560, 605, 616, 770, 847, 880, 968, 1210, 1232, 1540, 1694, 1936, 2420, 3080, 3388, 4235, 4840, 6160, 6776, 8470, 9680, 13552, 16940, 33880

Step-4: Factors of 67778

List of positive integer factors of 67778 that divides 67760 without a remainder.

1, 2, 33889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67760 and 67778. The biggest common factor number is the GCF number.
So the greatest common factor 67760 and 67778 is 2.

Also check out the Least Common Multiple of 67760 and 67778