What is the Greatest Common Factor of 90892 and 90896?

Greatest common factor (GCF) of 90892 and 90896 is 4.

GCF(90892,90896) = 4

We will now calculate the prime factors of 90892 and 90896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90892 and 90896.

How to find the GCF of 90892 and 90896?

We will first find the prime factorization of 90892 and 90896. After we will calculate the factors of 90892 and 90896 and find the biggest common factor number .

Step-1: Prime Factorization of 90892

Prime factors of 90892 are 2, 31, 733. Prime factorization of 90892 in exponential form is:

90892 = 2² × 31¹ × 733¹

Step-2: Prime Factorization of 90896

Prime factors of 90896 are 2, 13, 19, 23. Prime factorization of 90896 in exponential form is:

90896 = 2⁴ × 13¹ × 19¹ × 23¹

Step-3: Factors of 90892

List of positive integer factors of 90892 that divides 90892 without a remainder.

1, 2, 4, 31, 62, 124, 733, 1466, 2932, 22723, 45446

Step-4: Factors of 90896

List of positive integer factors of 90896 that divides 90892 without a remainder.

1, 2, 4, 8, 13, 16, 19, 23, 26, 38, 46, 52, 76, 92, 104, 152, 184, 208, 247, 299, 304, 368, 437, 494, 598, 874, 988, 1196, 1748, 1976, 2392, 3496, 3952, 4784, 5681, 6992, 11362, 22724, 45448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90892 and 90896. The biggest common factor number is the GCF number.
So the greatest common factor 90892 and 90896 is 4.

Also check out the Least Common Multiple of 90892 and 90896