What is the Greatest Common Factor of 65098 and 65109?

Greatest common factor (GCF) of 65098 and 65109 is 11.

GCF(65098,65109) = 11

We will now calculate the prime factors of 65098 and 65109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65098 and 65109.

How to find the GCF of 65098 and 65109?

We will first find the prime factorization of 65098 and 65109. After we will calculate the factors of 65098 and 65109 and find the biggest common factor number .

Step-1: Prime Factorization of 65098

Prime factors of 65098 are 2, 11, 269. Prime factorization of 65098 in exponential form is:

65098 = 2¹ × 11² × 269¹

Step-2: Prime Factorization of 65109

Prime factors of 65109 are 3, 11, 1973. Prime factorization of 65109 in exponential form is:

65109 = 3¹ × 11¹ × 1973¹

Step-3: Factors of 65098

List of positive integer factors of 65098 that divides 65098 without a remainder.

1, 2, 11, 22, 121, 242, 269, 538, 2959, 5918, 32549

Step-4: Factors of 65109

List of positive integer factors of 65109 that divides 65098 without a remainder.

1, 3, 11, 33, 1973, 5919, 21703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65098 and 65109. The biggest common factor number is the GCF number.
So the greatest common factor 65098 and 65109 is 11.

Also check out the Least Common Multiple of 65098 and 65109