What is the Greatest Common Factor of 86489 and 86496?

Greatest common factor (GCF) of 86489 and 86496 is 1.

GCF(86489,86496) = 1

We will now calculate the prime factors of 86489 and 86496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86489 and 86496.

How to find the GCF of 86489 and 86496?

We will first find the prime factorization of 86489 and 86496. After we will calculate the factors of 86489 and 86496 and find the biggest common factor number .

Step-1: Prime Factorization of 86489

Prime factors of 86489 are 13, 6653. Prime factorization of 86489 in exponential form is:

86489 = 13¹ × 6653¹

Step-2: Prime Factorization of 86496

Prime factors of 86496 are 2, 3, 17, 53. Prime factorization of 86496 in exponential form is:

86496 = 2⁵ × 3¹ × 17¹ × 53¹

Step-3: Factors of 86489

List of positive integer factors of 86489 that divides 86489 without a remainder.

1, 13, 6653

Step-4: Factors of 86496

List of positive integer factors of 86496 that divides 86489 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 53, 68, 96, 102, 106, 136, 159, 204, 212, 272, 318, 408, 424, 544, 636, 816, 848, 901, 1272, 1632, 1696, 1802, 2544, 2703, 3604, 5088, 5406, 7208, 10812, 14416, 21624, 28832, 43248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86489 and 86496. The biggest common factor number is the GCF number.
So the greatest common factor 86489 and 86496 is 1.

Also check out the Least Common Multiple of 86489 and 86496