What is the Greatest Common Factor of 80486 and 80496?

Greatest common factor (GCF) of 80486 and 80496 is 2.

GCF(80486,80496) = 2

We will now calculate the prime factors of 80486 and 80496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80486 and 80496.

How to find the GCF of 80486 and 80496?

We will first find the prime factorization of 80486 and 80496. After we will calculate the factors of 80486 and 80496 and find the biggest common factor number .

Step-1: Prime Factorization of 80486

Prime factors of 80486 are 2, 7, 5749. Prime factorization of 80486 in exponential form is:

80486 = 2¹ × 7¹ × 5749¹

Step-2: Prime Factorization of 80496

Prime factors of 80496 are 2, 3, 13, 43. Prime factorization of 80496 in exponential form is:

80496 = 2⁴ × 3² × 13¹ × 43¹

Step-3: Factors of 80486

List of positive integer factors of 80486 that divides 80486 without a remainder.

1, 2, 7, 14, 5749, 11498, 40243

Step-4: Factors of 80496

List of positive integer factors of 80496 that divides 80486 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 43, 48, 52, 72, 78, 86, 104, 117, 129, 144, 156, 172, 208, 234, 258, 312, 344, 387, 468, 516, 559, 624, 688, 774, 936, 1032, 1118, 1548, 1677, 1872, 2064, 2236, 3096, 3354, 4472, 5031, 6192, 6708, 8944, 10062, 13416, 20124, 26832, 40248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80486 and 80496. The biggest common factor number is the GCF number.
So the greatest common factor 80486 and 80496 is 2.

Also check out the Least Common Multiple of 80486 and 80496