What is the Greatest Common Factor of 72462 and 72472?

Greatest common factor (GCF) of 72462 and 72472 is 2.

GCF(72462,72472) = 2

We will now calculate the prime factors of 72462 and 72472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72462 and 72472.

How to find the GCF of 72462 and 72472?

We will first find the prime factorization of 72462 and 72472. After we will calculate the factors of 72462 and 72472 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 72472

Prime factors of 72472 are 2, 9059. Prime factorization of 72472 in exponential form is:

72472 = 2³ × 9059¹

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 72472

List of positive integer factors of 72472 that divides 72462 without a remainder.

1, 2, 4, 8, 9059, 18118, 36236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72462 and 72472. The biggest common factor number is the GCF number.
So the greatest common factor 72462 and 72472 is 2.

Also check out the Least Common Multiple of 72462 and 72472