What is the Greatest Common Factor of 81452 and 81472?

Greatest common factor (GCF) of 81452 and 81472 is 4.

GCF(81452,81472) = 4

We will now calculate the prime factors of 81452 and 81472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81452 and 81472.

How to find the GCF of 81452 and 81472?

We will first find the prime factorization of 81452 and 81472. After we will calculate the factors of 81452 and 81472 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81472

Prime factors of 81472 are 2, 19, 67. Prime factorization of 81472 in exponential form is:

81472 = 2⁶ × 19¹ × 67¹

Step-3: Factors of 81452

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

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

Step-4: Factors of 81472

List of positive integer factors of 81472 that divides 81452 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 67, 76, 134, 152, 268, 304, 536, 608, 1072, 1216, 1273, 2144, 2546, 4288, 5092, 10184, 20368, 40736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81452 and 81472. The biggest common factor number is the GCF number.
So the greatest common factor 81452 and 81472 is 4.

Also check out the Least Common Multiple of 81452 and 81472