What is the Greatest Common Factor of 89772 and 89792?

Greatest common factor (GCF) of 89772 and 89792 is 4.

GCF(89772,89792) = 4

We will now calculate the prime factors of 89772 and 89792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89772 and 89792.

How to find the GCF of 89772 and 89792?

We will first find the prime factorization of 89772 and 89792. After we will calculate the factors of 89772 and 89792 and find the biggest common factor number .

Step-1: Prime Factorization of 89772

Prime factors of 89772 are 2, 3, 7481. Prime factorization of 89772 in exponential form is:

89772 = 2² × 3¹ × 7481¹

Step-2: Prime Factorization of 89792

Prime factors of 89792 are 2, 23, 61. Prime factorization of 89792 in exponential form is:

89792 = 2⁶ × 23¹ × 61¹

Step-3: Factors of 89772

List of positive integer factors of 89772 that divides 89772 without a remainder.

1, 2, 3, 4, 6, 12, 7481, 14962, 22443, 29924, 44886

Step-4: Factors of 89792

List of positive integer factors of 89792 that divides 89772 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 61, 64, 92, 122, 184, 244, 368, 488, 736, 976, 1403, 1472, 1952, 2806, 3904, 5612, 11224, 22448, 44896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89772 and 89792. The biggest common factor number is the GCF number.
So the greatest common factor 89772 and 89792 is 4.

Also check out the Least Common Multiple of 89772 and 89792