What is the Greatest Common Factor of 81435 and 81453?

Greatest common factor (GCF) of 81435 and 81453 is 3.

GCF(81435,81453) = 3

We will now calculate the prime factors of 81435 and 81453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81435 and 81453.

How to find the GCF of 81435 and 81453?

We will first find the prime factorization of 81435 and 81453. After we will calculate the factors of 81435 and 81453 and find the biggest common factor number .

Step-1: Prime Factorization of 81435

Prime factors of 81435 are 3, 5, 61, 89. Prime factorization of 81435 in exponential form is:

81435 = 3¹ × 5¹ × 61¹ × 89¹

Step-2: Prime Factorization of 81453

Prime factors of 81453 are 3, 19, 1429. Prime factorization of 81453 in exponential form is:

81453 = 3¹ × 19¹ × 1429¹

Step-3: Factors of 81435

List of positive integer factors of 81435 that divides 81435 without a remainder.

1, 3, 5, 15, 61, 89, 183, 267, 305, 445, 915, 1335, 5429, 16287, 27145

Step-4: Factors of 81453

List of positive integer factors of 81453 that divides 81435 without a remainder.

1, 3, 19, 57, 1429, 4287, 27151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81435 and 81453. The biggest common factor number is the GCF number.
So the greatest common factor 81435 and 81453 is 3.

Also check out the Least Common Multiple of 81435 and 81453