What is the Greatest Common Factor of 86224 and 86241?

Greatest common factor (GCF) of 86224 and 86241 is 17.

GCF(86224,86241) = 17

We will now calculate the prime factors of 86224 and 86241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86224 and 86241.

How to find the GCF of 86224 and 86241?

We will first find the prime factorization of 86224 and 86241. After we will calculate the factors of 86224 and 86241 and find the biggest common factor number .

Step-1: Prime Factorization of 86224

Prime factors of 86224 are 2, 17, 317. Prime factorization of 86224 in exponential form is:

86224 = 2⁴ × 17¹ × 317¹

Step-2: Prime Factorization of 86241

Prime factors of 86241 are 3, 17, 19, 89. Prime factorization of 86241 in exponential form is:

86241 = 3¹ × 17¹ × 19¹ × 89¹

Step-3: Factors of 86224

List of positive integer factors of 86224 that divides 86224 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 317, 634, 1268, 2536, 5072, 5389, 10778, 21556, 43112

Step-4: Factors of 86241

List of positive integer factors of 86241 that divides 86224 without a remainder.

1, 3, 17, 19, 51, 57, 89, 267, 323, 969, 1513, 1691, 4539, 5073, 28747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86224 and 86241. The biggest common factor number is the GCF number.
So the greatest common factor 86224 and 86241 is 17.

Also check out the Least Common Multiple of 86224 and 86241