What is the Greatest Common Factor of 85642 and 85652?

Greatest common factor (GCF) of 85642 and 85652 is 2.

GCF(85642,85652) = 2

We will now calculate the prime factors of 85642 and 85652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85642 and 85652.

How to find the GCF of 85642 and 85652?

We will first find the prime factorization of 85642 and 85652. After we will calculate the factors of 85642 and 85652 and find the biggest common factor number .

Step-1: Prime Factorization of 85642

Prime factors of 85642 are 2, 42821. Prime factorization of 85642 in exponential form is:

85642 = 2¹ × 42821¹

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 85642

List of positive integer factors of 85642 that divides 85642 without a remainder.

1, 2, 42821

Step-4: Factors of 85652

List of positive integer factors of 85652 that divides 85642 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 85642 and 85652. The biggest common factor number is the GCF number.
So the greatest common factor 85642 and 85652 is 2.

Also check out the Least Common Multiple of 85642 and 85652