What is the Greatest Common Factor of 90730 and 90740?

Greatest common factor (GCF) of 90730 and 90740 is 10.

GCF(90730,90740) = 10

We will now calculate the prime factors of 90730 and 90740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90730 and 90740.

How to find the GCF of 90730 and 90740?

We will first find the prime factorization of 90730 and 90740. After we will calculate the factors of 90730 and 90740 and find the biggest common factor number .

Step-1: Prime Factorization of 90730

Prime factors of 90730 are 2, 5, 43, 211. Prime factorization of 90730 in exponential form is:

90730 = 2¹ × 5¹ × 43¹ × 211¹

Step-2: Prime Factorization of 90740

Prime factors of 90740 are 2, 5, 13, 349. Prime factorization of 90740 in exponential form is:

90740 = 2² × 5¹ × 13¹ × 349¹

Step-3: Factors of 90730

List of positive integer factors of 90730 that divides 90730 without a remainder.

1, 2, 5, 10, 43, 86, 211, 215, 422, 430, 1055, 2110, 9073, 18146, 45365

Step-4: Factors of 90740

List of positive integer factors of 90740 that divides 90730 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 349, 698, 1396, 1745, 3490, 4537, 6980, 9074, 18148, 22685, 45370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90730 and 90740. The biggest common factor number is the GCF number.
So the greatest common factor 90730 and 90740 is 10.

Also check out the Least Common Multiple of 90730 and 90740