What is the Greatest Common Factor of 72458 and 72462?

Greatest common factor (GCF) of 72458 and 72462 is 2.

GCF(72458,72462) = 2

We will now calculate the prime factors of 72458 and 72462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72458 and 72462.

How to find the GCF of 72458 and 72462?

We will first find the prime factorization of 72458 and 72462. After we will calculate the factors of 72458 and 72462 and find the biggest common factor number .

Step-1: Prime Factorization of 72458

Prime factors of 72458 are 2, 36229. Prime factorization of 72458 in exponential form is:

72458 = 2¹ × 36229¹

Step-2: Prime Factorization of 72462

Prime factors of 72462 are 2, 3, 13, 929. Prime factorization of 72462 in exponential form is:

72462 = 2¹ × 3¹ × 13¹ × 929¹

Step-3: Factors of 72458

List of positive integer factors of 72458 that divides 72458 without a remainder.

1, 2, 36229

Step-4: Factors of 72462

List of positive integer factors of 72462 that divides 72458 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 929, 1858, 2787, 5574, 12077, 24154, 36231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72458 and 72462. The biggest common factor number is the GCF number.
So the greatest common factor 72458 and 72462 is 2.

Also check out the Least Common Multiple of 72458 and 72462