What is the Greatest Common Factor of 85760 and 85768?

Greatest common factor (GCF) of 85760 and 85768 is 8.

GCF(85760,85768) = 8

We will now calculate the prime factors of 85760 and 85768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85760 and 85768.

How to find the GCF of 85760 and 85768?

We will first find the prime factorization of 85760 and 85768. After we will calculate the factors of 85760 and 85768 and find the biggest common factor number .

Step-1: Prime Factorization of 85760

Prime factors of 85760 are 2, 5, 67. Prime factorization of 85760 in exponential form is:

85760 = 2⁸ × 5¹ × 67¹

Step-2: Prime Factorization of 85768

Prime factors of 85768 are 2, 71, 151. Prime factorization of 85768 in exponential form is:

85768 = 2³ × 71¹ × 151¹

Step-3: Factors of 85760

List of positive integer factors of 85760 that divides 85760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 67, 80, 128, 134, 160, 256, 268, 320, 335, 536, 640, 670, 1072, 1280, 1340, 2144, 2680, 4288, 5360, 8576, 10720, 17152, 21440, 42880

Step-4: Factors of 85768

List of positive integer factors of 85768 that divides 85760 without a remainder.

1, 2, 4, 8, 71, 142, 151, 284, 302, 568, 604, 1208, 10721, 21442, 42884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85760 and 85768. The biggest common factor number is the GCF number.
So the greatest common factor 85760 and 85768 is 8.

Also check out the Least Common Multiple of 85760 and 85768