What is the Greatest Common Factor of 90145 and 90156?

Greatest common factor (GCF) of 90145 and 90156 is 11.

GCF(90145,90156) = 11

We will now calculate the prime factors of 90145 and 90156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90145 and 90156.

How to find the GCF of 90145 and 90156?

We will first find the prime factorization of 90145 and 90156. After we will calculate the factors of 90145 and 90156 and find the biggest common factor number .

Step-1: Prime Factorization of 90145

Prime factors of 90145 are 5, 11, 149. Prime factorization of 90145 in exponential form is:

90145 = 5¹ × 11² × 149¹

Step-2: Prime Factorization of 90156

Prime factors of 90156 are 2, 3, 11, 683. Prime factorization of 90156 in exponential form is:

90156 = 2² × 3¹ × 11¹ × 683¹

Step-3: Factors of 90145

List of positive integer factors of 90145 that divides 90145 without a remainder.

1, 5, 11, 55, 121, 149, 605, 745, 1639, 8195, 18029

Step-4: Factors of 90156

List of positive integer factors of 90156 that divides 90145 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 683, 1366, 2049, 2732, 4098, 7513, 8196, 15026, 22539, 30052, 45078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90145 and 90156. The biggest common factor number is the GCF number.
So the greatest common factor 90145 and 90156 is 11.

Also check out the Least Common Multiple of 90145 and 90156