What is the Greatest Common Factor of 85264 and 85284?

Greatest common factor (GCF) of 85264 and 85284 is 4.

GCF(85264,85284) = 4

We will now calculate the prime factors of 85264 and 85284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85264 and 85284.

How to find the GCF of 85264 and 85284?

We will first find the prime factorization of 85264 and 85284. After we will calculate the factors of 85264 and 85284 and find the biggest common factor number .

Step-1: Prime Factorization of 85264

Prime factors of 85264 are 2, 73. Prime factorization of 85264 in exponential form is:

85264 = 2⁴ × 73²

Step-2: Prime Factorization of 85284

Prime factors of 85284 are 2, 3, 23, 103. Prime factorization of 85284 in exponential form is:

85284 = 2² × 3² × 23¹ × 103¹

Step-3: Factors of 85264

List of positive integer factors of 85264 that divides 85264 without a remainder.

1, 2, 4, 8, 16, 73, 146, 292, 584, 1168, 5329, 10658, 21316, 42632

Step-4: Factors of 85284

List of positive integer factors of 85284 that divides 85264 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 103, 138, 206, 207, 276, 309, 412, 414, 618, 828, 927, 1236, 1854, 2369, 3708, 4738, 7107, 9476, 14214, 21321, 28428, 42642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85264 and 85284. The biggest common factor number is the GCF number.
So the greatest common factor 85264 and 85284 is 4.

Also check out the Least Common Multiple of 85264 and 85284