What is the Greatest Common Factor of 85633 and 85652?

Greatest common factor (GCF) of 85633 and 85652 is 19.

GCF(85633,85652) = 19

We will now calculate the prime factors of 85633 and 85652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85633 and 85652.

How to find the GCF of 85633 and 85652?

We will first find the prime factorization of 85633 and 85652. After we will calculate the factors of 85633 and 85652 and find the biggest common factor number .

Step-1: Prime Factorization of 85633

Prime factors of 85633 are 19, 4507. Prime factorization of 85633 in exponential form is:

85633 = 19¹ × 4507¹

Step-2: Prime Factorization of 85652

Prime factors of 85652 are 2, 7, 19, 23. Prime factorization of 85652 in exponential form is:

85652 = 2² × 7² × 19¹ × 23¹

Step-3: Factors of 85633

List of positive integer factors of 85633 that divides 85633 without a remainder.

1, 19, 4507

Step-4: Factors of 85652

List of positive integer factors of 85652 that divides 85633 without a remainder.

1, 2, 4, 7, 14, 19, 23, 28, 38, 46, 49, 76, 92, 98, 133, 161, 196, 266, 322, 437, 532, 644, 874, 931, 1127, 1748, 1862, 2254, 3059, 3724, 4508, 6118, 12236, 21413, 42826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85633 and 85652. The biggest common factor number is the GCF number.
So the greatest common factor 85633 and 85652 is 19.

Also check out the Least Common Multiple of 85633 and 85652