What is the Greatest Common Factor of 85216 and 85224?

Greatest common factor (GCF) of 85216 and 85224 is 8.

GCF(85216,85224) = 8

We will now calculate the prime factors of 85216 and 85224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85216 and 85224.

How to find the GCF of 85216 and 85224?

We will first find the prime factorization of 85216 and 85224. After we will calculate the factors of 85216 and 85224 and find the biggest common factor number .

Step-1: Prime Factorization of 85216

Prime factors of 85216 are 2, 2663. Prime factorization of 85216 in exponential form is:

85216 = 2⁵ × 2663¹

Step-2: Prime Factorization of 85224

Prime factors of 85224 are 2, 3, 53, 67. Prime factorization of 85224 in exponential form is:

85224 = 2³ × 3¹ × 53¹ × 67¹

Step-3: Factors of 85216

List of positive integer factors of 85216 that divides 85216 without a remainder.

1, 2, 4, 8, 16, 32, 2663, 5326, 10652, 21304, 42608

Step-4: Factors of 85224

List of positive integer factors of 85224 that divides 85216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 53, 67, 106, 134, 159, 201, 212, 268, 318, 402, 424, 536, 636, 804, 1272, 1608, 3551, 7102, 10653, 14204, 21306, 28408, 42612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85216 and 85224. The biggest common factor number is the GCF number.
So the greatest common factor 85216 and 85224 is 8.

Also check out the Least Common Multiple of 85216 and 85224