What is the Greatest Common Factor of 94340 and 94350?

Greatest common factor (GCF) of 94340 and 94350 is 10.

GCF(94340,94350) = 10

We will now calculate the prime factors of 94340 and 94350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94340 and 94350.

How to find the GCF of 94340 and 94350?

We will first find the prime factorization of 94340 and 94350. After we will calculate the factors of 94340 and 94350 and find the biggest common factor number .

Step-1: Prime Factorization of 94340

Prime factors of 94340 are 2, 5, 53, 89. Prime factorization of 94340 in exponential form is:

94340 = 2² × 5¹ × 53¹ × 89¹

Step-2: Prime Factorization of 94350

Prime factors of 94350 are 2, 3, 5, 17, 37. Prime factorization of 94350 in exponential form is:

94350 = 2¹ × 3¹ × 5² × 17¹ × 37¹

Step-3: Factors of 94340

List of positive integer factors of 94340 that divides 94340 without a remainder.

1, 2, 4, 5, 10, 20, 53, 89, 106, 178, 212, 265, 356, 445, 530, 890, 1060, 1780, 4717, 9434, 18868, 23585, 47170

Step-4: Factors of 94350

List of positive integer factors of 94350 that divides 94340 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 37, 50, 51, 74, 75, 85, 102, 111, 150, 170, 185, 222, 255, 370, 425, 510, 555, 629, 850, 925, 1110, 1258, 1275, 1850, 1887, 2550, 2775, 3145, 3774, 5550, 6290, 9435, 15725, 18870, 31450, 47175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94340 and 94350. The biggest common factor number is the GCF number.
So the greatest common factor 94340 and 94350 is 10.

Also check out the Least Common Multiple of 94340 and 94350