What is the Greatest Common Factor of 82464 and 82472?

Greatest common factor (GCF) of 82464 and 82472 is 8.

GCF(82464,82472) = 8

We will now calculate the prime factors of 82464 and 82472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82464 and 82472.

How to find the GCF of 82464 and 82472?

We will first find the prime factorization of 82464 and 82472. After we will calculate the factors of 82464 and 82472 and find the biggest common factor number .

Step-1: Prime Factorization of 82464

Prime factors of 82464 are 2, 3, 859. Prime factorization of 82464 in exponential form is:

82464 = 2⁵ × 3¹ × 859¹

Step-2: Prime Factorization of 82472

Prime factors of 82472 are 2, 13, 61. Prime factorization of 82472 in exponential form is:

82472 = 2³ × 13² × 61¹

Step-3: Factors of 82464

List of positive integer factors of 82464 that divides 82464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 859, 1718, 2577, 3436, 5154, 6872, 10308, 13744, 20616, 27488, 41232

Step-4: Factors of 82472

List of positive integer factors of 82472 that divides 82464 without a remainder.

1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 169, 244, 338, 488, 676, 793, 1352, 1586, 3172, 6344, 10309, 20618, 41236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82464 and 82472. The biggest common factor number is the GCF number.
So the greatest common factor 82464 and 82472 is 8.

Also check out the Least Common Multiple of 82464 and 82472