What is the Greatest Common Factor of 86016 and 86028?

Greatest common factor (GCF) of 86016 and 86028 is 12.

GCF(86016,86028) = 12

We will now calculate the prime factors of 86016 and 86028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86016 and 86028.

How to find the GCF of 86016 and 86028?

We will first find the prime factorization of 86016 and 86028. After we will calculate the factors of 86016 and 86028 and find the biggest common factor number .

Step-1: Prime Factorization of 86016

Prime factors of 86016 are 2, 3, 7. Prime factorization of 86016 in exponential form is:

86016 = 2¹² × 3¹ × 7¹

Step-2: Prime Factorization of 86028

Prime factors of 86028 are 2, 3, 67, 107. Prime factorization of 86028 in exponential form is:

86028 = 2² × 3¹ × 67¹ × 107¹

Step-3: Factors of 86016

List of positive integer factors of 86016 that divides 86016 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 512, 672, 768, 896, 1024, 1344, 1536, 1792, 2048, 2688, 3072, 3584, 4096, 5376, 6144, 7168, 10752, 12288, 14336, 21504, 28672, 43008

Step-4: Factors of 86028

List of positive integer factors of 86028 that divides 86016 without a remainder.

1, 2, 3, 4, 6, 12, 67, 107, 134, 201, 214, 268, 321, 402, 428, 642, 804, 1284, 7169, 14338, 21507, 28676, 43014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86016 and 86028. The biggest common factor number is the GCF number.
So the greatest common factor 86016 and 86028 is 12.

Also check out the Least Common Multiple of 86016 and 86028