What is the Greatest Common Factor of 77330 and 77341?

Greatest common factor (GCF) of 77330 and 77341 is 11.

GCF(77330,77341) = 11

We will now calculate the prime factors of 77330 and 77341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77330 and 77341.

How to find the GCF of 77330 and 77341?

We will first find the prime factorization of 77330 and 77341. After we will calculate the factors of 77330 and 77341 and find the biggest common factor number .

Step-1: Prime Factorization of 77330

Prime factors of 77330 are 2, 5, 11, 19, 37. Prime factorization of 77330 in exponential form is:

77330 = 2¹ × 5¹ × 11¹ × 19¹ × 37¹

Step-2: Prime Factorization of 77341

Prime factors of 77341 are 11, 79, 89. Prime factorization of 77341 in exponential form is:

77341 = 11¹ × 79¹ × 89¹

Step-3: Factors of 77330

List of positive integer factors of 77330 that divides 77330 without a remainder.

1, 2, 5, 10, 11, 19, 22, 37, 38, 55, 74, 95, 110, 185, 190, 209, 370, 407, 418, 703, 814, 1045, 1406, 2035, 2090, 3515, 4070, 7030, 7733, 15466, 38665

Step-4: Factors of 77341

List of positive integer factors of 77341 that divides 77330 without a remainder.

1, 11, 79, 89, 869, 979, 7031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77330 and 77341. The biggest common factor number is the GCF number.
So the greatest common factor 77330 and 77341 is 11.

Also check out the Least Common Multiple of 77330 and 77341