What is the Greatest Common Factor of 90727 and 90740?

Greatest common factor (GCF) of 90727 and 90740 is 13.

GCF(90727,90740) = 13

We will now calculate the prime factors of 90727 and 90740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90727 and 90740.

How to find the GCF of 90727 and 90740?

We will first find the prime factorization of 90727 and 90740. After we will calculate the factors of 90727 and 90740 and find the biggest common factor number .

Step-1: Prime Factorization of 90727

Prime factors of 90727 are 7, 13, 997. Prime factorization of 90727 in exponential form is:

90727 = 7¹ × 13¹ × 997¹

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 90727

List of positive integer factors of 90727 that divides 90727 without a remainder.

1, 7, 13, 91, 997, 6979, 12961

Step-4: Factors of 90740

List of positive integer factors of 90740 that divides 90727 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 90727 and 90740. The biggest common factor number is the GCF number.
So the greatest common factor 90727 and 90740 is 13.

Also check out the Least Common Multiple of 90727 and 90740