What is the Greatest Common Factor of 67768 and 67776?

Greatest common factor (GCF) of 67768 and 67776 is 8.

GCF(67768,67776) = 8

We will now calculate the prime factors of 67768 and 67776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67768 and 67776.

How to find the GCF of 67768 and 67776?

We will first find the prime factorization of 67768 and 67776. After we will calculate the factors of 67768 and 67776 and find the biggest common factor number .

Step-1: Prime Factorization of 67768

Prime factors of 67768 are 2, 43, 197. Prime factorization of 67768 in exponential form is:

67768 = 2³ × 43¹ × 197¹

Step-2: Prime Factorization of 67776

Prime factors of 67776 are 2, 3, 353. Prime factorization of 67776 in exponential form is:

67776 = 2⁶ × 3¹ × 353¹

Step-3: Factors of 67768

List of positive integer factors of 67768 that divides 67768 without a remainder.

1, 2, 4, 8, 43, 86, 172, 197, 344, 394, 788, 1576, 8471, 16942, 33884

Step-4: Factors of 67776

List of positive integer factors of 67776 that divides 67768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 353, 706, 1059, 1412, 2118, 2824, 4236, 5648, 8472, 11296, 16944, 22592, 33888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67768 and 67776. The biggest common factor number is the GCF number.
So the greatest common factor 67768 and 67776 is 8.

Also check out the Least Common Multiple of 67768 and 67776