What is the Greatest Common Factor of 90646 and 90650?

Greatest common factor (GCF) of 90646 and 90650 is 2.

GCF(90646,90650) = 2

We will now calculate the prime factors of 90646 and 90650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90646 and 90650.

How to find the GCF of 90646 and 90650?

We will first find the prime factorization of 90646 and 90650. After we will calculate the factors of 90646 and 90650 and find the biggest common factor number .

Step-1: Prime Factorization of 90646

Prime factors of 90646 are 2, 61, 743. Prime factorization of 90646 in exponential form is:

90646 = 2¹ × 61¹ × 743¹

Step-2: Prime Factorization of 90650

Prime factors of 90650 are 2, 5, 7, 37. Prime factorization of 90650 in exponential form is:

90650 = 2¹ × 5² × 7² × 37¹

Step-3: Factors of 90646

List of positive integer factors of 90646 that divides 90646 without a remainder.

1, 2, 61, 122, 743, 1486, 45323

Step-4: Factors of 90650

List of positive integer factors of 90650 that divides 90646 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 37, 49, 50, 70, 74, 98, 175, 185, 245, 259, 350, 370, 490, 518, 925, 1225, 1295, 1813, 1850, 2450, 2590, 3626, 6475, 9065, 12950, 18130, 45325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90646 and 90650. The biggest common factor number is the GCF number.
So the greatest common factor 90646 and 90650 is 2.

Also check out the Least Common Multiple of 90646 and 90650