What is the Greatest Common Factor of 93420 and 93440?

Greatest common factor (GCF) of 93420 and 93440 is 20.

GCF(93420,93440) = 20

We will now calculate the prime factors of 93420 and 93440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93420 and 93440.

How to find the GCF of 93420 and 93440?

We will first find the prime factorization of 93420 and 93440. After we will calculate the factors of 93420 and 93440 and find the biggest common factor number .

Step-1: Prime Factorization of 93420

Prime factors of 93420 are 2, 3, 5, 173. Prime factorization of 93420 in exponential form is:

93420 = 2² × 3³ × 5¹ × 173¹

Step-2: Prime Factorization of 93440

Prime factors of 93440 are 2, 5, 73. Prime factorization of 93440 in exponential form is:

93440 = 2⁸ × 5¹ × 73¹

Step-3: Factors of 93420

List of positive integer factors of 93420 that divides 93420 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 173, 180, 270, 346, 519, 540, 692, 865, 1038, 1557, 1730, 2076, 2595, 3114, 3460, 4671, 5190, 6228, 7785, 9342, 10380, 15570, 18684, 23355, 31140, 46710

Step-4: Factors of 93440

List of positive integer factors of 93440 that divides 93420 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 73, 80, 128, 146, 160, 256, 292, 320, 365, 584, 640, 730, 1168, 1280, 1460, 2336, 2920, 4672, 5840, 9344, 11680, 18688, 23360, 46720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93420 and 93440. The biggest common factor number is the GCF number.
So the greatest common factor 93420 and 93440 is 20.

Also check out the Least Common Multiple of 93420 and 93440