What is the Greatest Common Factor of 84576 and 84588?

Greatest common factor (GCF) of 84576 and 84588 is 12.

GCF(84576,84588) = 12

We will now calculate the prime factors of 84576 and 84588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84576 and 84588.

How to find the GCF of 84576 and 84588?

We will first find the prime factorization of 84576 and 84588. After we will calculate the factors of 84576 and 84588 and find the biggest common factor number .

Step-1: Prime Factorization of 84576

Prime factors of 84576 are 2, 3, 881. Prime factorization of 84576 in exponential form is:

84576 = 2⁵ × 3¹ × 881¹

Step-2: Prime Factorization of 84588

Prime factors of 84588 are 2, 3, 7, 19, 53. Prime factorization of 84588 in exponential form is:

84588 = 2² × 3¹ × 7¹ × 19¹ × 53¹

Step-3: Factors of 84576

List of positive integer factors of 84576 that divides 84576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 881, 1762, 2643, 3524, 5286, 7048, 10572, 14096, 21144, 28192, 42288

Step-4: Factors of 84588

List of positive integer factors of 84588 that divides 84576 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 53, 57, 76, 84, 106, 114, 133, 159, 212, 228, 266, 318, 371, 399, 532, 636, 742, 798, 1007, 1113, 1484, 1596, 2014, 2226, 3021, 4028, 4452, 6042, 7049, 12084, 14098, 21147, 28196, 42294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84576 and 84588. The biggest common factor number is the GCF number.
So the greatest common factor 84576 and 84588 is 12.

Also check out the Least Common Multiple of 84576 and 84588