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What is the Greatest Common Factor of 42484 and 42490?

Greatest common factor (GCF) of 42484 and 42490 is 2.

GCF(42484,42490) = 2

We will now calculate the prime factors of 42484 and 42490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42484 and 42490.

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How to find the GCF of 42484 and 42490?

We will first find the prime factorization of 42484 and 42490. After we will calculate the factors of 42484 and 42490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42490

Prime factors of 42490 are 2, 5, 7, 607. Prime factorization of 42490 in exponential form is:

42490 = 21 × 51 × 71 × 6071

Step-3: Factors of 42484

List of positive integer factors of 42484 that divides 42484 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

Step-4: Factors of 42490

List of positive integer factors of 42490 that divides 42484 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 607, 1214, 3035, 4249, 6070, 8498, 21245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42484 and 42490. The biggest common factor number is the GCF number.
So the greatest common factor 42484 and 42490 is 2.

Also check out the Least Common Multiple of 42484 and 42490