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What is the Greatest Common Factor of 60458 and 60462?

Greatest common factor (GCF) of 60458 and 60462 is 2.

GCF(60458,60462) = 2

We will now calculate the prime factors of 60458 and 60462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60458 and 60462.

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How to find the GCF of 60458 and 60462?

We will first find the prime factorization of 60458 and 60462. After we will calculate the factors of 60458 and 60462 and find the biggest common factor number .

Step-1: Prime Factorization of 60458

Prime factors of 60458 are 2, 19, 37, 43. Prime factorization of 60458 in exponential form is:

60458 = 21 × 191 × 371 × 431

Step-2: Prime Factorization of 60462

Prime factors of 60462 are 2, 3, 3359. Prime factorization of 60462 in exponential form is:

60462 = 21 × 32 × 33591

Step-3: Factors of 60458

List of positive integer factors of 60458 that divides 60458 without a remainder.

1, 2, 19, 37, 38, 43, 74, 86, 703, 817, 1406, 1591, 1634, 3182, 30229

Step-4: Factors of 60462

List of positive integer factors of 60462 that divides 60458 without a remainder.

1, 2, 3, 6, 9, 18, 3359, 6718, 10077, 20154, 30231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60458 and 60462. The biggest common factor number is the GCF number.
So the greatest common factor 60458 and 60462 is 2.

Also check out the Least Common Multiple of 60458 and 60462