What is the Greatest Common Factor of 86359 and 86373?

Greatest common factor (GCF) of 86359 and 86373 is 7.

GCF(86359,86373) = 7

We will now calculate the prime factors of 86359 and 86373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86359 and 86373.

How to find the GCF of 86359 and 86373?

We will first find the prime factorization of 86359 and 86373. After we will calculate the factors of 86359 and 86373 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 86373

Prime factors of 86373 are 3, 7, 457. Prime factorization of 86373 in exponential form is:

86373 = 3³ × 7¹ × 457¹

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 86373

List of positive integer factors of 86373 that divides 86359 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 457, 1371, 3199, 4113, 9597, 12339, 28791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86359 and 86373. The biggest common factor number is the GCF number.
So the greatest common factor 86359 and 86373 is 7.

Also check out the Least Common Multiple of 86359 and 86373