What is the Greatest Common Factor of 90735 and 90739?

Greatest common factor (GCF) of 90735 and 90739 is 1.

GCF(90735,90739) = 1

We will now calculate the prime factors of 90735 and 90739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90735 and 90739.

How to find the GCF of 90735 and 90739?

We will first find the prime factorization of 90735 and 90739. After we will calculate the factors of 90735 and 90739 and find the biggest common factor number .

Step-1: Prime Factorization of 90735

Prime factors of 90735 are 3, 5, 23, 263. Prime factorization of 90735 in exponential form is:

90735 = 3¹ × 5¹ × 23¹ × 263¹

Step-2: Prime Factorization of 90739

Prime factors of 90739 are 11, 73, 113. Prime factorization of 90739 in exponential form is:

90739 = 11¹ × 73¹ × 113¹

Step-3: Factors of 90735

List of positive integer factors of 90735 that divides 90735 without a remainder.

1, 3, 5, 15, 23, 69, 115, 263, 345, 789, 1315, 3945, 6049, 18147, 30245

Step-4: Factors of 90739

List of positive integer factors of 90739 that divides 90735 without a remainder.

1, 11, 73, 113, 803, 1243, 8249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90735 and 90739. The biggest common factor number is the GCF number.
So the greatest common factor 90735 and 90739 is 1.

Also check out the Least Common Multiple of 90735 and 90739