What is the Greatest Common Factor of 42474 and 42484?

Greatest common factor (GCF) of 42474 and 42484 is 2.

GCF(42474,42484) = 2

We will now calculate the prime factors of 42474 and 42484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42474 and 42484.

How to find the GCF of 42474 and 42484?

We will first find the prime factorization of 42474 and 42484. After we will calculate the factors of 42474 and 42484 and find the biggest common factor number .

Step-1: Prime Factorization of 42474

Prime factors of 42474 are 2, 3, 7079. Prime factorization of 42474 in exponential form is:

42474 = 2¹ × 3¹ × 7079¹

Step-2: Prime Factorization of 42484

Prime factors of 42484 are 2, 13, 19, 43. Prime factorization of 42484 in exponential form is:

42484 = 2² × 13¹ × 19¹ × 43¹

Step-3: Factors of 42474

List of positive integer factors of 42474 that divides 42474 without a remainder.

1, 2, 3, 6, 7079, 14158, 21237

Step-4: Factors of 42484

List of positive integer factors of 42484 that divides 42474 without a remainder.

1, 2, 4, 13, 19, 26, 38, 43, 52, 76, 86, 172, 247, 494, 559, 817, 988, 1118, 1634, 2236, 3268, 10621, 21242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42474 and 42484. The biggest common factor number is the GCF number.
So the greatest common factor 42474 and 42484 is 2.

Also check out the Least Common Multiple of 42474 and 42484