What is the Greatest Common Factor of 90846 and 90860?

Greatest common factor (GCF) of 90846 and 90860 is 14.

GCF(90846,90860) = 14

We will now calculate the prime factors of 90846 and 90860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90846 and 90860.

How to find the GCF of 90846 and 90860?

We will first find the prime factorization of 90846 and 90860. After we will calculate the factors of 90846 and 90860 and find the biggest common factor number .

Step-1: Prime Factorization of 90846

Prime factors of 90846 are 2, 3, 7, 103. Prime factorization of 90846 in exponential form is:

90846 = 2¹ × 3² × 7² × 103¹

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 90846

List of positive integer factors of 90846 that divides 90846 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 103, 126, 147, 206, 294, 309, 441, 618, 721, 882, 927, 1442, 1854, 2163, 4326, 5047, 6489, 10094, 12978, 15141, 30282, 45423

Step-4: Factors of 90860

List of positive integer factors of 90860 that divides 90846 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 90846 and 90860. The biggest common factor number is the GCF number.
So the greatest common factor 90846 and 90860 is 14.

Also check out the Least Common Multiple of 90846 and 90860