What is the Greatest Common Factor of 86272 and 86292?

Greatest common factor (GCF) of 86272 and 86292 is 4.

GCF(86272,86292) = 4

We will now calculate the prime factors of 86272 and 86292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86272 and 86292.

How to find the GCF of 86272 and 86292?

We will first find the prime factorization of 86272 and 86292. After we will calculate the factors of 86272 and 86292 and find the biggest common factor number .

Step-1: Prime Factorization of 86272

Prime factors of 86272 are 2, 337. Prime factorization of 86272 in exponential form is:

86272 = 2⁸ × 337¹

Step-2: Prime Factorization of 86292

Prime factors of 86292 are 2, 3, 17, 47. Prime factorization of 86292 in exponential form is:

86292 = 2² × 3³ × 17¹ × 47¹

Step-3: Factors of 86272

List of positive integer factors of 86272 that divides 86272 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 337, 674, 1348, 2696, 5392, 10784, 21568, 43136

Step-4: Factors of 86292

List of positive integer factors of 86292 that divides 86272 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 47, 51, 54, 68, 94, 102, 108, 141, 153, 188, 204, 282, 306, 423, 459, 564, 612, 799, 846, 918, 1269, 1598, 1692, 1836, 2397, 2538, 3196, 4794, 5076, 7191, 9588, 14382, 21573, 28764, 43146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86272 and 86292. The biggest common factor number is the GCF number.
So the greatest common factor 86272 and 86292 is 4.

Also check out the Least Common Multiple of 86272 and 86292