What is the Greatest Common Factor of 94472 and 94488?

Greatest common factor (GCF) of 94472 and 94488 is 8.

GCF(94472,94488) = 8

We will now calculate the prime factors of 94472 and 94488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94472 and 94488.

How to find the GCF of 94472 and 94488?

We will first find the prime factorization of 94472 and 94488. After we will calculate the factors of 94472 and 94488 and find the biggest common factor number .

Step-1: Prime Factorization of 94472

Prime factors of 94472 are 2, 7, 241. Prime factorization of 94472 in exponential form is:

94472 = 2³ × 7² × 241¹

Step-2: Prime Factorization of 94488

Prime factors of 94488 are 2, 3, 31, 127. Prime factorization of 94488 in exponential form is:

94488 = 2³ × 3¹ × 31¹ × 127¹

Step-3: Factors of 94472

List of positive integer factors of 94472 that divides 94472 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 241, 392, 482, 964, 1687, 1928, 3374, 6748, 11809, 13496, 23618, 47236

Step-4: Factors of 94488

List of positive integer factors of 94488 that divides 94472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 127, 186, 248, 254, 372, 381, 508, 744, 762, 1016, 1524, 3048, 3937, 7874, 11811, 15748, 23622, 31496, 47244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94472 and 94488. The biggest common factor number is the GCF number.
So the greatest common factor 94472 and 94488 is 8.

Also check out the Least Common Multiple of 94472 and 94488