What is the Greatest Common Factor of 86236 and 86242?

Greatest common factor (GCF) of 86236 and 86242 is 2.

GCF(86236,86242) = 2

We will now calculate the prime factors of 86236 and 86242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86236 and 86242.

How to find the GCF of 86236 and 86242?

We will first find the prime factorization of 86236 and 86242. After we will calculate the factors of 86236 and 86242 and find the biggest common factor number .

Step-1: Prime Factorization of 86236

Prime factors of 86236 are 2, 21559. Prime factorization of 86236 in exponential form is:

86236 = 2² × 21559¹

Step-2: Prime Factorization of 86242

Prime factors of 86242 are 2, 13, 31, 107. Prime factorization of 86242 in exponential form is:

86242 = 2¹ × 13¹ × 31¹ × 107¹

Step-3: Factors of 86236

List of positive integer factors of 86236 that divides 86236 without a remainder.

1, 2, 4, 21559, 43118

Step-4: Factors of 86242

List of positive integer factors of 86242 that divides 86236 without a remainder.

1, 2, 13, 26, 31, 62, 107, 214, 403, 806, 1391, 2782, 3317, 6634, 43121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86236 and 86242. The biggest common factor number is the GCF number.
So the greatest common factor 86236 and 86242 is 2.

Also check out the Least Common Multiple of 86236 and 86242