What is the Greatest Common Factor of 86450 and 86464?

Greatest common factor (GCF) of 86450 and 86464 is 14.

GCF(86450,86464) = 14

We will now calculate the prime factors of 86450 and 86464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86450 and 86464.

How to find the GCF of 86450 and 86464?

We will first find the prime factorization of 86450 and 86464. After we will calculate the factors of 86450 and 86464 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86464

Prime factors of 86464 are 2, 7, 193. Prime factorization of 86464 in exponential form is:

86464 = 2⁶ × 7¹ × 193¹

Step-3: Factors of 86450

List of positive integer factors of 86450 that divides 86450 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

Step-4: Factors of 86464

List of positive integer factors of 86464 that divides 86450 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 193, 224, 386, 448, 772, 1351, 1544, 2702, 3088, 5404, 6176, 10808, 12352, 21616, 43232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86450 and 86464. The biggest common factor number is the GCF number.
So the greatest common factor 86450 and 86464 is 14.

Also check out the Least Common Multiple of 86450 and 86464