What is the Greatest Common Factor of 81430 and 81435?

Greatest common factor (GCF) of 81430 and 81435 is 5.

GCF(81430,81435) = 5

We will now calculate the prime factors of 81430 and 81435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81430 and 81435.

How to find the GCF of 81430 and 81435?

We will first find the prime factorization of 81430 and 81435. After we will calculate the factors of 81430 and 81435 and find the biggest common factor number .

Step-1: Prime Factorization of 81430

Prime factors of 81430 are 2, 5, 17, 479. Prime factorization of 81430 in exponential form is:

81430 = 2¹ × 5¹ × 17¹ × 479¹

Step-2: 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-3: Factors of 81430

List of positive integer factors of 81430 that divides 81430 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 479, 958, 2395, 4790, 8143, 16286, 40715

Step-4: Factors of 81435

List of positive integer factors of 81435 that divides 81430 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81430 and 81435. The biggest common factor number is the GCF number.
So the greatest common factor 81430 and 81435 is 5.

Also check out the Least Common Multiple of 81430 and 81435