What is the Greatest Common Factor of 94480 and 94488?

Greatest common factor (GCF) of 94480 and 94488 is 8.

GCF(94480,94488) = 8

We will now calculate the prime factors of 94480 and 94488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94480 and 94488.

How to find the GCF of 94480 and 94488?

We will first find the prime factorization of 94480 and 94488. After we will calculate the factors of 94480 and 94488 and find the biggest common factor number .

Step-1: Prime Factorization of 94480

Prime factors of 94480 are 2, 5, 1181. Prime factorization of 94480 in exponential form is:

94480 = 2⁴ × 5¹ × 1181¹

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 94480

List of positive integer factors of 94480 that divides 94480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1181, 2362, 4724, 5905, 9448, 11810, 18896, 23620, 47240

Step-4: Factors of 94488

List of positive integer factors of 94488 that divides 94480 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 94480 and 94488. The biggest common factor number is the GCF number.
So the greatest common factor 94480 and 94488 is 8.

Also check out the Least Common Multiple of 94480 and 94488