What is the Greatest Common Factor of 90850 and 90860?

Greatest common factor (GCF) of 90850 and 90860 is 10.

GCF(90850,90860) = 10

We will now calculate the prime factors of 90850 and 90860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90850 and 90860.

How to find the GCF of 90850 and 90860?

We will first find the prime factorization of 90850 and 90860. After we will calculate the factors of 90850 and 90860 and find the biggest common factor number .

Step-1: Prime Factorization of 90850

Prime factors of 90850 are 2, 5, 23, 79. Prime factorization of 90850 in exponential form is:

90850 = 2¹ × 5² × 23¹ × 79¹

Step-2: 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-3: Factors of 90850

List of positive integer factors of 90850 that divides 90850 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 79, 115, 158, 230, 395, 575, 790, 1150, 1817, 1975, 3634, 3950, 9085, 18170, 45425

Step-4: Factors of 90860

List of positive integer factors of 90860 that divides 90850 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90850 and 90860. The biggest common factor number is the GCF number.
So the greatest common factor 90850 and 90860 is 10.

Also check out the Least Common Multiple of 90850 and 90860