What is the Greatest Common Factor of 84524 and 84544?

Greatest common factor (GCF) of 84524 and 84544 is 4.

GCF(84524,84544) = 4

We will now calculate the prime factors of 84524 and 84544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84524 and 84544.

How to find the GCF of 84524 and 84544?

We will first find the prime factorization of 84524 and 84544. After we will calculate the factors of 84524 and 84544 and find the biggest common factor number .

Step-1: Prime Factorization of 84524

Prime factors of 84524 are 2, 11, 17, 113. Prime factorization of 84524 in exponential form is:

84524 = 2² × 11¹ × 17¹ × 113¹

Step-2: Prime Factorization of 84544

Prime factors of 84544 are 2, 1321. Prime factorization of 84544 in exponential form is:

84544 = 2⁶ × 1321¹

Step-3: Factors of 84524

List of positive integer factors of 84524 that divides 84524 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 113, 187, 226, 374, 452, 748, 1243, 1921, 2486, 3842, 4972, 7684, 21131, 42262

Step-4: Factors of 84544

List of positive integer factors of 84544 that divides 84524 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1321, 2642, 5284, 10568, 21136, 42272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84524 and 84544. The biggest common factor number is the GCF number.
So the greatest common factor 84524 and 84544 is 4.

Also check out the Least Common Multiple of 84524 and 84544