What is the Greatest Common Factor of 81029 and 81042?

Greatest common factor (GCF) of 81029 and 81042 is 13.

GCF(81029,81042) = 13

We will now calculate the prime factors of 81029 and 81042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81029 and 81042.

How to find the GCF of 81029 and 81042?

We will first find the prime factorization of 81029 and 81042. After we will calculate the factors of 81029 and 81042 and find the biggest common factor number .

Step-1: Prime Factorization of 81029

Prime factors of 81029 are 13, 23, 271. Prime factorization of 81029 in exponential form is:

81029 = 13¹ × 23¹ × 271¹

Step-2: Prime Factorization of 81042

Prime factors of 81042 are 2, 3, 13, 1039. Prime factorization of 81042 in exponential form is:

81042 = 2¹ × 3¹ × 13¹ × 1039¹

Step-3: Factors of 81029

List of positive integer factors of 81029 that divides 81029 without a remainder.

1, 13, 23, 271, 299, 3523, 6233

Step-4: Factors of 81042

List of positive integer factors of 81042 that divides 81029 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1039, 2078, 3117, 6234, 13507, 27014, 40521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81029 and 81042. The biggest common factor number is the GCF number.
So the greatest common factor 81029 and 81042 is 13.

Also check out the Least Common Multiple of 81029 and 81042