What is the Greatest Common Factor of 90849 and 90860?

Greatest common factor (GCF) of 90849 and 90860 is 11.

GCF(90849,90860) = 11

We will now calculate the prime factors of 90849 and 90860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90849 and 90860.

How to find the GCF of 90849 and 90860?

We will first find the prime factorization of 90849 and 90860. After we will calculate the factors of 90849 and 90860 and find the biggest common factor number .

Step-1: Prime Factorization of 90849

Prime factors of 90849 are 3, 11, 2753. Prime factorization of 90849 in exponential form is:

90849 = 3¹ × 11¹ × 2753¹

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 90849

List of positive integer factors of 90849 that divides 90849 without a remainder.

1, 3, 11, 33, 2753, 8259, 30283

Step-4: Factors of 90860

List of positive integer factors of 90860 that divides 90849 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 90849 and 90860. The biggest common factor number is the GCF number.
So the greatest common factor 90849 and 90860 is 11.

Also check out the Least Common Multiple of 90849 and 90860