What is the Greatest Common Factor of 90860 and 90870?

Greatest common factor (GCF) of 90860 and 90870 is 10.

GCF(90860,90870) = 10

We will now calculate the prime factors of 90860 and 90870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90860 and 90870.

How to find the GCF of 90860 and 90870?

We will first find the prime factorization of 90860 and 90870. After we will calculate the factors of 90860 and 90870 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 90870

Prime factors of 90870 are 2, 3, 5, 13, 233. Prime factorization of 90870 in exponential form is:

90870 = 2¹ × 3¹ × 5¹ × 13¹ × 233¹

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 90870

List of positive integer factors of 90870 that divides 90860 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 233, 390, 466, 699, 1165, 1398, 2330, 3029, 3495, 6058, 6990, 9087, 15145, 18174, 30290, 45435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90860 and 90870. The biggest common factor number is the GCF number.
So the greatest common factor 90860 and 90870 is 10.

Also check out the Least Common Multiple of 90860 and 90870