What is the Greatest Common Factor of 474 and 488?

Greatest common factor (GCF) of 474 and 488 is 2.

GCF(474,488) = 2

We will now calculate the prime factors of 474 and 488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 474 and 488.

How to find the GCF of 474 and 488?

We will first find the prime factorization of 474 and 488. After we will calculate the factors of 474 and 488 and find the biggest common factor number .

Step-1: Prime Factorization of 474

Prime factors of 474 are 2, 3, 79. Prime factorization of 474 in exponential form is:

474 = 2¹ × 3¹ × 79¹

Step-2: Prime Factorization of 488

Prime factors of 488 are 2, 61. Prime factorization of 488 in exponential form is:

488 = 2³ × 61¹

Step-3: Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237

Step-4: Factors of 488

List of positive integer factors of 488 that divides 474 without a remainder.

1, 2, 4, 8, 61, 122, 244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 474 and 488. The biggest common factor number is the GCF number.
So the greatest common factor 474 and 488 is 2.

Also check out the Least Common Multiple of 474 and 488