What is the Greatest Common Factor of 90896 and 90906?

Greatest common factor (GCF) of 90896 and 90906 is 2.

GCF(90896,90906) = 2

We will now calculate the prime factors of 90896 and 90906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90896 and 90906.

How to find the GCF of 90896 and 90906?

We will first find the prime factorization of 90896 and 90906. After we will calculate the factors of 90896 and 90906 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90906

Prime factors of 90906 are 2, 3, 109, 139. Prime factorization of 90906 in exponential form is:

90906 = 2¹ × 3¹ × 109¹ × 139¹

Step-3: Factors of 90896

List of positive integer factors of 90896 that divides 90896 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

Step-4: Factors of 90906

List of positive integer factors of 90906 that divides 90896 without a remainder.

1, 2, 3, 6, 109, 139, 218, 278, 327, 417, 654, 834, 15151, 30302, 45453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90896 and 90906. The biggest common factor number is the GCF number.
So the greatest common factor 90896 and 90906 is 2.

Also check out the Least Common Multiple of 90896 and 90906