What is the Greatest Common Factor of 90860 and 90868?

Greatest common factor (GCF) of 90860 and 90868 is 4.

GCF(90860,90868) = 4

We will now calculate the prime factors of 90860 and 90868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90860 and 90868.

How to find the GCF of 90860 and 90868?

We will first find the prime factorization of 90860 and 90868. After we will calculate the factors of 90860 and 90868 and find the biggest common factor number .

Step-1: Prime Factorization of 90860

Prime factors of 90860 are 2, 5, 7, 11, 59. Prime factorization of 90860 in exponential form is:

90860 = 2² × 5¹ × 7¹ × 11¹ × 59¹

Step-2: Prime Factorization of 90868

Prime factors of 90868 are 2, 22717. Prime factorization of 90868 in exponential form is:

90868 = 2² × 22717¹

Step-3: Factors of 90860

List of positive integer factors of 90860 that divides 90860 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 59, 70, 77, 110, 118, 140, 154, 220, 236, 295, 308, 385, 413, 590, 649, 770, 826, 1180, 1298, 1540, 1652, 2065, 2596, 3245, 4130, 4543, 6490, 8260, 9086, 12980, 18172, 22715, 45430

Step-4: Factors of 90868

List of positive integer factors of 90868 that divides 90860 without a remainder.

1, 2, 4, 22717, 45434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90860 and 90868. The biggest common factor number is the GCF number.
So the greatest common factor 90860 and 90868 is 4.

Also check out the Least Common Multiple of 90860 and 90868