What is the Greatest Common Factor of 84524 and 84535?

Greatest common factor (GCF) of 84524 and 84535 is 11.

GCF(84524,84535) = 11

We will now calculate the prime factors of 84524 and 84535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84524 and 84535.

How to find the GCF of 84524 and 84535?

We will first find the prime factorization of 84524 and 84535. After we will calculate the factors of 84524 and 84535 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 84535

Prime factors of 84535 are 5, 11, 29, 53. Prime factorization of 84535 in exponential form is:

84535 = 5¹ × 11¹ × 29¹ × 53¹

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 84535

List of positive integer factors of 84535 that divides 84524 without a remainder.

1, 5, 11, 29, 53, 55, 145, 265, 319, 583, 1537, 1595, 2915, 7685, 16907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84524 and 84535. The biggest common factor number is the GCF number.
So the greatest common factor 84524 and 84535 is 11.

Also check out the Least Common Multiple of 84524 and 84535