What is the Greatest Common Factor of 86320 and 86338?

Greatest common factor (GCF) of 86320 and 86338 is 2.

GCF(86320,86338) = 2

We will now calculate the prime factors of 86320 and 86338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86320 and 86338.

How to find the GCF of 86320 and 86338?

We will first find the prime factorization of 86320 and 86338. After we will calculate the factors of 86320 and 86338 and find the biggest common factor number .

Step-1: Prime Factorization of 86320

Prime factors of 86320 are 2, 5, 13, 83. Prime factorization of 86320 in exponential form is:

86320 = 2⁴ × 5¹ × 13¹ × 83¹

Step-2: Prime Factorization of 86338

Prime factors of 86338 are 2, 7, 881. Prime factorization of 86338 in exponential form is:

86338 = 2¹ × 7² × 881¹

Step-3: Factors of 86320

List of positive integer factors of 86320 that divides 86320 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 83, 104, 130, 166, 208, 260, 332, 415, 520, 664, 830, 1040, 1079, 1328, 1660, 2158, 3320, 4316, 5395, 6640, 8632, 10790, 17264, 21580, 43160

Step-4: Factors of 86338

List of positive integer factors of 86338 that divides 86320 without a remainder.

1, 2, 7, 14, 49, 98, 881, 1762, 6167, 12334, 43169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86320 and 86338. The biggest common factor number is the GCF number.
So the greatest common factor 86320 and 86338 is 2.

Also check out the Least Common Multiple of 86320 and 86338