What is the Greatest Common Factor of 94320 and 94340?

Greatest common factor (GCF) of 94320 and 94340 is 20.

GCF(94320,94340) = 20

We will now calculate the prime factors of 94320 and 94340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94320 and 94340.

How to find the GCF of 94320 and 94340?

We will first find the prime factorization of 94320 and 94340. After we will calculate the factors of 94320 and 94340 and find the biggest common factor number .

Step-1: Prime Factorization of 94320

Prime factors of 94320 are 2, 3, 5, 131. Prime factorization of 94320 in exponential form is:

94320 = 2⁴ × 3² × 5¹ × 131¹

Step-2: 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-3: Factors of 94320

List of positive integer factors of 94320 that divides 94320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 131, 144, 180, 240, 262, 360, 393, 524, 655, 720, 786, 1048, 1179, 1310, 1572, 1965, 2096, 2358, 2620, 3144, 3930, 4716, 5240, 5895, 6288, 7860, 9432, 10480, 11790, 15720, 18864, 23580, 31440, 47160

Step-4: Factors of 94340

List of positive integer factors of 94340 that divides 94320 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94320 and 94340. The biggest common factor number is the GCF number.
So the greatest common factor 94320 and 94340 is 20.

Also check out the Least Common Multiple of 94320 and 94340