What is the Greatest Common Factor of 81772 and 81792?

Greatest common factor (GCF) of 81772 and 81792 is 4.

GCF(81772,81792) = 4

We will now calculate the prime factors of 81772 and 81792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81772 and 81792.

How to find the GCF of 81772 and 81792?

We will first find the prime factorization of 81772 and 81792. After we will calculate the factors of 81772 and 81792 and find the biggest common factor number .

Step-1: Prime Factorization of 81772

Prime factors of 81772 are 2, 20443. Prime factorization of 81772 in exponential form is:

81772 = 2² × 20443¹

Step-2: Prime Factorization of 81792

Prime factors of 81792 are 2, 3, 71. Prime factorization of 81792 in exponential form is:

81792 = 2⁷ × 3² × 71¹

Step-3: Factors of 81772

List of positive integer factors of 81772 that divides 81772 without a remainder.

1, 2, 4, 20443, 40886

Step-4: Factors of 81792

List of positive integer factors of 81792 that divides 81772 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 71, 72, 96, 128, 142, 144, 192, 213, 284, 288, 384, 426, 568, 576, 639, 852, 1136, 1152, 1278, 1704, 2272, 2556, 3408, 4544, 5112, 6816, 9088, 10224, 13632, 20448, 27264, 40896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81772 and 81792. The biggest common factor number is the GCF number.
So the greatest common factor 81772 and 81792 is 4.

Also check out the Least Common Multiple of 81772 and 81792