What is the Greatest Common Factor of 86443 and 86450?

Greatest common factor (GCF) of 86443 and 86450 is 7.

GCF(86443,86450) = 7

We will now calculate the prime factors of 86443 and 86450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86443 and 86450.

How to find the GCF of 86443 and 86450?

We will first find the prime factorization of 86443 and 86450. After we will calculate the factors of 86443 and 86450 and find the biggest common factor number .

Step-1: Prime Factorization of 86443

Prime factors of 86443 are 7, 53, 233. Prime factorization of 86443 in exponential form is:

86443 = 7¹ × 53¹ × 233¹

Step-2: Prime Factorization of 86450

Prime factors of 86450 are 2, 5, 7, 13, 19. Prime factorization of 86450 in exponential form is:

86450 = 2¹ × 5² × 7¹ × 13¹ × 19¹

Step-3: Factors of 86443

List of positive integer factors of 86443 that divides 86443 without a remainder.

1, 7, 53, 233, 371, 1631, 12349

Step-4: Factors of 86450

List of positive integer factors of 86450 that divides 86443 without a remainder.

1, 2, 5, 7, 10, 13, 14, 19, 25, 26, 35, 38, 50, 65, 70, 91, 95, 130, 133, 175, 182, 190, 247, 266, 325, 350, 455, 475, 494, 650, 665, 910, 950, 1235, 1330, 1729, 2275, 2470, 3325, 3458, 4550, 6175, 6650, 8645, 12350, 17290, 43225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86443 and 86450. The biggest common factor number is the GCF number.
So the greatest common factor 86443 and 86450 is 7.

Also check out the Least Common Multiple of 86443 and 86450