What is the Greatest Common Factor of 80850 and 80864?

Greatest common factor (GCF) of 80850 and 80864 is 14.

GCF(80850,80864) = 14

We will now calculate the prime factors of 80850 and 80864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80850 and 80864.

How to find the GCF of 80850 and 80864?

We will first find the prime factorization of 80850 and 80864. After we will calculate the factors of 80850 and 80864 and find the biggest common factor number .

Step-1: Prime Factorization of 80850

Prime factors of 80850 are 2, 3, 5, 7, 11. Prime factorization of 80850 in exponential form is:

80850 = 2¹ × 3¹ × 5² × 7² × 11¹

Step-2: Prime Factorization of 80864

Prime factors of 80864 are 2, 7, 19. Prime factorization of 80864 in exponential form is:

80864 = 2⁵ × 7¹ × 19²

Step-3: Factors of 80850

List of positive integer factors of 80850 that divides 80850 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 25, 30, 33, 35, 42, 49, 50, 55, 66, 70, 75, 77, 98, 105, 110, 147, 150, 154, 165, 175, 210, 231, 245, 275, 294, 330, 350, 385, 462, 490, 525, 539, 550, 735, 770, 825, 1050, 1078, 1155, 1225, 1470, 1617, 1650, 1925, 2310, 2450, 2695, 3234, 3675, 3850, 5390, 5775, 7350, 8085, 11550, 13475, 16170, 26950, 40425

Step-4: Factors of 80864

List of positive integer factors of 80864 that divides 80850 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 361, 532, 608, 722, 1064, 1444, 2128, 2527, 2888, 4256, 5054, 5776, 10108, 11552, 20216, 40432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80850 and 80864. The biggest common factor number is the GCF number.
So the greatest common factor 80850 and 80864 is 14.

Also check out the Least Common Multiple of 80850 and 80864