What is the Greatest Common Factor of 81374 and 81383?

Greatest common factor (GCF) of 81374 and 81383 is 1.

GCF(81374,81383) = 1

We will now calculate the prime factors of 81374 and 81383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81374 and 81383.

How to find the GCF of 81374 and 81383?

We will first find the prime factorization of 81374 and 81383. After we will calculate the factors of 81374 and 81383 and find the biggest common factor number .

Step-1: Prime Factorization of 81374

Prime factors of 81374 are 2, 23, 29, 61. Prime factorization of 81374 in exponential form is:

81374 = 2¹ × 23¹ × 29¹ × 61¹

Step-2: Prime Factorization of 81383

Prime factors of 81383 are 97, 839. Prime factorization of 81383 in exponential form is:

81383 = 97¹ × 839¹

Step-3: Factors of 81374

List of positive integer factors of 81374 that divides 81374 without a remainder.

1, 2, 23, 29, 46, 58, 61, 122, 667, 1334, 1403, 1769, 2806, 3538, 40687

Step-4: Factors of 81383

List of positive integer factors of 81383 that divides 81374 without a remainder.

1, 97, 839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81374 and 81383. The biggest common factor number is the GCF number.
So the greatest common factor 81374 and 81383 is 1.

Also check out the Least Common Multiple of 81374 and 81383