What is the Greatest Common Factor of 86012 and 86016?

Greatest common factor (GCF) of 86012 and 86016 is 4.

GCF(86012,86016) = 4

We will now calculate the prime factors of 86012 and 86016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86012 and 86016.

How to find the GCF of 86012 and 86016?

We will first find the prime factorization of 86012 and 86016. After we will calculate the factors of 86012 and 86016 and find the biggest common factor number .

Step-1: Prime Factorization of 86012

Prime factors of 86012 are 2, 21503. Prime factorization of 86012 in exponential form is:

86012 = 2² × 21503¹

Step-2: 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-3: Factors of 86012

List of positive integer factors of 86012 that divides 86012 without a remainder.

1, 2, 4, 21503, 43006

Step-4: Factors of 86016

List of positive integer factors of 86016 that divides 86012 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86012 and 86016. The biggest common factor number is the GCF number.
So the greatest common factor 86012 and 86016 is 4.

Also check out the Least Common Multiple of 86012 and 86016