What is the Greatest Common Factor of 81454 and 81472?

Greatest common factor (GCF) of 81454 and 81472 is 2.

GCF(81454,81472) = 2

We will now calculate the prime factors of 81454 and 81472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81454 and 81472.

How to find the GCF of 81454 and 81472?

We will first find the prime factorization of 81454 and 81472. After we will calculate the factors of 81454 and 81472 and find the biggest common factor number .

Step-1: Prime Factorization of 81454

Prime factors of 81454 are 2, 139, 293. Prime factorization of 81454 in exponential form is:

81454 = 2¹ × 139¹ × 293¹

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 81454

List of positive integer factors of 81454 that divides 81454 without a remainder.

1, 2, 139, 278, 293, 586, 40727

Step-4: Factors of 81472

List of positive integer factors of 81472 that divides 81454 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 81454 and 81472. The biggest common factor number is the GCF number.
So the greatest common factor 81454 and 81472 is 2.

Also check out the Least Common Multiple of 81454 and 81472