What is the Greatest Common Factor of 81484 and 81494?

Greatest common factor (GCF) of 81484 and 81494 is 2.

GCF(81484,81494) = 2

We will now calculate the prime factors of 81484 and 81494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81484 and 81494.

How to find the GCF of 81484 and 81494?

We will first find the prime factorization of 81484 and 81494. After we will calculate the factors of 81484 and 81494 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 81494

Prime factors of 81494 are 2, 7, 5821. Prime factorization of 81494 in exponential form is:

81494 = 2¹ × 7¹ × 5821¹

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 81494

List of positive integer factors of 81494 that divides 81484 without a remainder.

1, 2, 7, 14, 5821, 11642, 40747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81484 and 81494. The biggest common factor number is the GCF number.
So the greatest common factor 81484 and 81494 is 2.

Also check out the Least Common Multiple of 81484 and 81494