What is the Greatest Common Factor of 86431 and 86450?

Greatest common factor (GCF) of 86431 and 86450 is 19.

GCF(86431,86450) = 19

We will now calculate the prime factors of 86431 and 86450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86431 and 86450.

How to find the GCF of 86431 and 86450?

We will first find the prime factorization of 86431 and 86450. After we will calculate the factors of 86431 and 86450 and find the biggest common factor number .

Step-1: Prime Factorization of 86431

Prime factors of 86431 are 19, 4549. Prime factorization of 86431 in exponential form is:

86431 = 19¹ × 4549¹

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 86431

List of positive integer factors of 86431 that divides 86431 without a remainder.

1, 19, 4549

Step-4: Factors of 86450

List of positive integer factors of 86450 that divides 86431 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 86431 and 86450. The biggest common factor number is the GCF number.
So the greatest common factor 86431 and 86450 is 19.

Also check out the Least Common Multiple of 86431 and 86450