What is the Greatest Common Factor of 81438 and 81452?

Greatest common factor (GCF) of 81438 and 81452 is 14.

GCF(81438,81452) = 14

We will now calculate the prime factors of 81438 and 81452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81438 and 81452.

How to find the GCF of 81438 and 81452?

We will first find the prime factorization of 81438 and 81452. After we will calculate the factors of 81438 and 81452 and find the biggest common factor number .

Step-1: Prime Factorization of 81438

Prime factors of 81438 are 2, 3, 7, 277. Prime factorization of 81438 in exponential form is:

81438 = 2¹ × 3¹ × 7² × 277¹

Step-2: Prime Factorization of 81452

Prime factors of 81452 are 2, 7, 2909. Prime factorization of 81452 in exponential form is:

81452 = 2² × 7¹ × 2909¹

Step-3: Factors of 81438

List of positive integer factors of 81438 that divides 81438 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 277, 294, 554, 831, 1662, 1939, 3878, 5817, 11634, 13573, 27146, 40719

Step-4: Factors of 81452

List of positive integer factors of 81452 that divides 81438 without a remainder.

1, 2, 4, 7, 14, 28, 2909, 5818, 11636, 20363, 40726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81438 and 81452. The biggest common factor number is the GCF number.
So the greatest common factor 81438 and 81452 is 14.

Also check out the Least Common Multiple of 81438 and 81452