What is the Greatest Common Factor of 81484 and 81488?

Greatest common factor (GCF) of 81484 and 81488 is 4.

GCF(81484,81488) = 4

We will now calculate the prime factors of 81484 and 81488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81484 and 81488.

How to find the GCF of 81484 and 81488?

We will first find the prime factorization of 81484 and 81488. After we will calculate the factors of 81484 and 81488 and find the biggest common factor number .

Step-1: Prime Factorization of 81484

Prime factors of 81484 are 2, 13, 1567. Prime factorization of 81484 in exponential form is:

81484 = 2² × 13¹ × 1567¹

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 81484

List of positive integer factors of 81484 that divides 81484 without a remainder.

1, 2, 4, 13, 26, 52, 1567, 3134, 6268, 20371, 40742

Step-4: Factors of 81488

List of positive integer factors of 81488 that divides 81484 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 81484 and 81488. The biggest common factor number is the GCF number.
So the greatest common factor 81484 and 81488 is 4.

Also check out the Least Common Multiple of 81484 and 81488