What is the Greatest Common Factor of 94160 and 94170?

Greatest common factor (GCF) of 94160 and 94170 is 10.

GCF(94160,94170) = 10

We will now calculate the prime factors of 94160 and 94170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94160 and 94170.

How to find the GCF of 94160 and 94170?

We will first find the prime factorization of 94160 and 94170. After we will calculate the factors of 94160 and 94170 and find the biggest common factor number .

Step-1: Prime Factorization of 94160

Prime factors of 94160 are 2, 5, 11, 107. Prime factorization of 94160 in exponential form is:

94160 = 2⁴ × 5¹ × 11¹ × 107¹

Step-2: Prime Factorization of 94170

Prime factors of 94170 are 2, 3, 5, 43, 73. Prime factorization of 94170 in exponential form is:

94170 = 2¹ × 3¹ × 5¹ × 43¹ × 73¹

Step-3: Factors of 94160

List of positive integer factors of 94160 that divides 94160 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 107, 110, 176, 214, 220, 428, 440, 535, 856, 880, 1070, 1177, 1712, 2140, 2354, 4280, 4708, 5885, 8560, 9416, 11770, 18832, 23540, 47080

Step-4: Factors of 94170

List of positive integer factors of 94170 that divides 94160 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 73, 86, 129, 146, 215, 219, 258, 365, 430, 438, 645, 730, 1095, 1290, 2190, 3139, 6278, 9417, 15695, 18834, 31390, 47085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94160 and 94170. The biggest common factor number is the GCF number.
So the greatest common factor 94160 and 94170 is 10.

Also check out the Least Common Multiple of 94160 and 94170