What is the Greatest Common Factor of 84529 and 84535?

Greatest common factor (GCF) of 84529 and 84535 is 1.

GCF(84529,84535) = 1

We will now calculate the prime factors of 84529 and 84535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84529 and 84535.

How to find the GCF of 84529 and 84535?

We will first find the prime factorization of 84529 and 84535. After we will calculate the factors of 84529 and 84535 and find the biggest common factor number .

Step-1: Prime Factorization of 84529

Prime factors of 84529 are 137, 617. Prime factorization of 84529 in exponential form is:

84529 = 137¹ × 617¹

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 84529

List of positive integer factors of 84529 that divides 84529 without a remainder.

1, 137, 617

Step-4: Factors of 84535

List of positive integer factors of 84535 that divides 84529 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 84529 and 84535. The biggest common factor number is the GCF number.
So the greatest common factor 84529 and 84535 is 1.

Also check out the Least Common Multiple of 84529 and 84535