What is the Greatest Common Factor of 86430 and 86450?

Greatest common factor (GCF) of 86430 and 86450 is 10.

GCF(86430,86450) = 10

We will now calculate the prime factors of 86430 and 86450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86430 and 86450.

How to find the GCF of 86430 and 86450?

We will first find the prime factorization of 86430 and 86450. After we will calculate the factors of 86430 and 86450 and find the biggest common factor number .

Step-1: Prime Factorization of 86430

Prime factors of 86430 are 2, 3, 5, 43, 67. Prime factorization of 86430 in exponential form is:

86430 = 2¹ × 3¹ × 5¹ × 43¹ × 67¹

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 86430

List of positive integer factors of 86430 that divides 86430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 67, 86, 129, 134, 201, 215, 258, 335, 402, 430, 645, 670, 1005, 1290, 2010, 2881, 5762, 8643, 14405, 17286, 28810, 43215

Step-4: Factors of 86450

List of positive integer factors of 86450 that divides 86430 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 86430 and 86450. The biggest common factor number is the GCF number.
So the greatest common factor 86430 and 86450 is 10.

Also check out the Least Common Multiple of 86430 and 86450