What is the Greatest Common Factor of 81358 and 81377?

Greatest common factor (GCF) of 81358 and 81377 is 19.

GCF(81358,81377) = 19

We will now calculate the prime factors of 81358 and 81377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81358 and 81377.

How to find the GCF of 81358 and 81377?

We will first find the prime factorization of 81358 and 81377. After we will calculate the factors of 81358 and 81377 and find the biggest common factor number .

Step-1: Prime Factorization of 81358

Prime factors of 81358 are 2, 19, 2141. Prime factorization of 81358 in exponential form is:

81358 = 2¹ × 19¹ × 2141¹

Step-2: Prime Factorization of 81377

Prime factors of 81377 are 19, 4283. Prime factorization of 81377 in exponential form is:

81377 = 19¹ × 4283¹

Step-3: Factors of 81358

List of positive integer factors of 81358 that divides 81358 without a remainder.

1, 2, 19, 38, 2141, 4282, 40679

Step-4: Factors of 81377

List of positive integer factors of 81377 that divides 81358 without a remainder.

1, 19, 4283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81358 and 81377. The biggest common factor number is the GCF number.
So the greatest common factor 81358 and 81377 is 19.

Also check out the Least Common Multiple of 81358 and 81377