What is the Greatest Common Factor of 90146 and 90160?

Greatest common factor (GCF) of 90146 and 90160 is 14.

GCF(90146,90160) = 14

We will now calculate the prime factors of 90146 and 90160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90146 and 90160.

How to find the GCF of 90146 and 90160?

We will first find the prime factorization of 90146 and 90160. After we will calculate the factors of 90146 and 90160 and find the biggest common factor number .

Step-1: Prime Factorization of 90146

Prime factors of 90146 are 2, 7, 47, 137. Prime factorization of 90146 in exponential form is:

90146 = 2¹ × 7¹ × 47¹ × 137¹

Step-2: Prime Factorization of 90160

Prime factors of 90160 are 2, 5, 7, 23. Prime factorization of 90160 in exponential form is:

90160 = 2⁴ × 5¹ × 7² × 23¹

Step-3: Factors of 90146

List of positive integer factors of 90146 that divides 90146 without a remainder.

1, 2, 7, 14, 47, 94, 137, 274, 329, 658, 959, 1918, 6439, 12878, 45073

Step-4: Factors of 90160

List of positive integer factors of 90160 that divides 90146 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 23, 28, 35, 40, 46, 49, 56, 70, 80, 92, 98, 112, 115, 140, 161, 184, 196, 230, 245, 280, 322, 368, 392, 460, 490, 560, 644, 784, 805, 920, 980, 1127, 1288, 1610, 1840, 1960, 2254, 2576, 3220, 3920, 4508, 5635, 6440, 9016, 11270, 12880, 18032, 22540, 45080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90146 and 90160. The biggest common factor number is the GCF number.
So the greatest common factor 90146 and 90160 is 14.

Also check out the Least Common Multiple of 90146 and 90160