What is the Greatest Common Factor of 81470 and 81488?

Greatest common factor (GCF) of 81470 and 81488 is 2.

GCF(81470,81488) = 2

We will now calculate the prime factors of 81470 and 81488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81470 and 81488.

How to find the GCF of 81470 and 81488?

We will first find the prime factorization of 81470 and 81488. After we will calculate the factors of 81470 and 81488 and find the biggest common factor number .

Step-1: Prime Factorization of 81470

Prime factors of 81470 are 2, 5, 8147. Prime factorization of 81470 in exponential form is:

81470 = 2¹ × 5¹ × 8147¹

Step-2: Prime Factorization of 81488

Prime factors of 81488 are 2, 11, 463. Prime factorization of 81488 in exponential form is:

81488 = 2⁴ × 11¹ × 463¹

Step-3: Factors of 81470

List of positive integer factors of 81470 that divides 81470 without a remainder.

1, 2, 5, 10, 8147, 16294, 40735

Step-4: Factors of 81488

List of positive integer factors of 81488 that divides 81470 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 463, 926, 1852, 3704, 5093, 7408, 10186, 20372, 40744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81470 and 81488. The biggest common factor number is the GCF number.
So the greatest common factor 81470 and 81488 is 2.

Also check out the Least Common Multiple of 81470 and 81488