What is the Greatest Common Factor of 86838 and 86848?

Greatest common factor (GCF) of 86838 and 86848 is 2.

GCF(86838,86848) = 2

We will now calculate the prime factors of 86838 and 86848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86838 and 86848.

How to find the GCF of 86838 and 86848?

We will first find the prime factorization of 86838 and 86848. After we will calculate the factors of 86838 and 86848 and find the biggest common factor number .

Step-1: Prime Factorization of 86838

Prime factors of 86838 are 2, 3, 41, 353. Prime factorization of 86838 in exponential form is:

86838 = 2¹ × 3¹ × 41¹ × 353¹

Step-2: Prime Factorization of 86848

Prime factors of 86848 are 2, 23, 59. Prime factorization of 86848 in exponential form is:

86848 = 2⁶ × 23¹ × 59¹

Step-3: Factors of 86838

List of positive integer factors of 86838 that divides 86838 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 353, 706, 1059, 2118, 14473, 28946, 43419

Step-4: Factors of 86848

List of positive integer factors of 86848 that divides 86838 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 59, 64, 92, 118, 184, 236, 368, 472, 736, 944, 1357, 1472, 1888, 2714, 3776, 5428, 10856, 21712, 43424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86838 and 86848. The biggest common factor number is the GCF number.
So the greatest common factor 86838 and 86848 is 2.

Also check out the Least Common Multiple of 86838 and 86848