What is the Greatest Common Factor of 94148 and 94160?

Greatest common factor (GCF) of 94148 and 94160 is 4.

GCF(94148,94160) = 4

We will now calculate the prime factors of 94148 and 94160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94148 and 94160.

How to find the GCF of 94148 and 94160?

We will first find the prime factorization of 94148 and 94160. After we will calculate the factors of 94148 and 94160 and find the biggest common factor number .

Step-1: Prime Factorization of 94148

Prime factors of 94148 are 2, 23537. Prime factorization of 94148 in exponential form is:

94148 = 2² × 23537¹

Step-2: 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-3: Factors of 94148

List of positive integer factors of 94148 that divides 94148 without a remainder.

1, 2, 4, 23537, 47074

Step-4: Factors of 94160

List of positive integer factors of 94160 that divides 94148 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94148 and 94160. The biggest common factor number is the GCF number.
So the greatest common factor 94148 and 94160 is 4.

Also check out the Least Common Multiple of 94148 and 94160