What is the Greatest Common Factor of 72462 and 72478?

Greatest common factor (GCF) of 72462 and 72478 is 2.

GCF(72462,72478) = 2

We will now calculate the prime factors of 72462 and 72478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72462 and 72478.

How to find the GCF of 72462 and 72478?

We will first find the prime factorization of 72462 and 72478. After we will calculate the factors of 72462 and 72478 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72478

Prime factors of 72478 are 2, 7, 31, 167. Prime factorization of 72478 in exponential form is:

72478 = 2¹ × 7¹ × 31¹ × 167¹

Step-3: Factors of 72462

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

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

Step-4: Factors of 72478

List of positive integer factors of 72478 that divides 72462 without a remainder.

1, 2, 7, 14, 31, 62, 167, 217, 334, 434, 1169, 2338, 5177, 10354, 36239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72462 and 72478. The biggest common factor number is the GCF number.
So the greatest common factor 72462 and 72478 is 2.

Also check out the Least Common Multiple of 72462 and 72478