What is the Greatest Common Factor of 81461 and 81468?

Greatest common factor (GCF) of 81461 and 81468 is 1.

GCF(81461,81468) = 1

We will now calculate the prime factors of 81461 and 81468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81461 and 81468.

How to find the GCF of 81461 and 81468?

We will first find the prime factorization of 81461 and 81468. After we will calculate the factors of 81461 and 81468 and find the biggest common factor number .

Step-1: Prime Factorization of 81461

Prime factors of 81461 are 29, 53. Prime factorization of 81461 in exponential form is:

81461 = 29¹ × 53²

Step-2: Prime Factorization of 81468

Prime factors of 81468 are 2, 3, 31, 73. Prime factorization of 81468 in exponential form is:

81468 = 2² × 3² × 31¹ × 73¹

Step-3: Factors of 81461

List of positive integer factors of 81461 that divides 81461 without a remainder.

1, 29, 53, 1537, 2809

Step-4: Factors of 81468

List of positive integer factors of 81468 that divides 81461 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 73, 93, 124, 146, 186, 219, 279, 292, 372, 438, 558, 657, 876, 1116, 1314, 2263, 2628, 4526, 6789, 9052, 13578, 20367, 27156, 40734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81461 and 81468. The biggest common factor number is the GCF number.
So the greatest common factor 81461 and 81468 is 1.

Also check out the Least Common Multiple of 81461 and 81468