What is the Greatest Common Factor of 86359 and 86372?

Greatest common factor (GCF) of 86359 and 86372 is 13.

GCF(86359,86372) = 13

We will now calculate the prime factors of 86359 and 86372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86359 and 86372.

How to find the GCF of 86359 and 86372?

We will first find the prime factorization of 86359 and 86372. After we will calculate the factors of 86359 and 86372 and find the biggest common factor number .

Step-1: Prime Factorization of 86359

Prime factors of 86359 are 7, 13, 73. Prime factorization of 86359 in exponential form is:

86359 = 7¹ × 13² × 73¹

Step-2: Prime Factorization of 86372

Prime factors of 86372 are 2, 11, 13, 151. Prime factorization of 86372 in exponential form is:

86372 = 2² × 11¹ × 13¹ × 151¹

Step-3: Factors of 86359

List of positive integer factors of 86359 that divides 86359 without a remainder.

1, 7, 13, 73, 91, 169, 511, 949, 1183, 6643, 12337

Step-4: Factors of 86372

List of positive integer factors of 86372 that divides 86359 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 151, 286, 302, 572, 604, 1661, 1963, 3322, 3926, 6644, 7852, 21593, 43186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86359 and 86372. The biggest common factor number is the GCF number.
So the greatest common factor 86359 and 86372 is 13.

Also check out the Least Common Multiple of 86359 and 86372