What is the Greatest Common Factor of 34760 and 34771?

Greatest common factor (GCF) of 34760 and 34771 is 11.

GCF(34760,34771) = 11

We will now calculate the prime factors of 34760 and 34771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34760 and 34771.

How to find the GCF of 34760 and 34771?

We will first find the prime factorization of 34760 and 34771. After we will calculate the factors of 34760 and 34771 and find the biggest common factor number .

Step-1: Prime Factorization of 34760

Prime factors of 34760 are 2, 5, 11, 79. Prime factorization of 34760 in exponential form is:

34760 = 2³ × 5¹ × 11¹ × 79¹

Step-2: Prime Factorization of 34771

Prime factors of 34771 are 11, 29, 109. Prime factorization of 34771 in exponential form is:

34771 = 11¹ × 29¹ × 109¹

Step-3: Factors of 34760

List of positive integer factors of 34760 that divides 34760 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 79, 88, 110, 158, 220, 316, 395, 440, 632, 790, 869, 1580, 1738, 3160, 3476, 4345, 6952, 8690, 17380

Step-4: Factors of 34771

List of positive integer factors of 34771 that divides 34760 without a remainder.

1, 11, 29, 109, 319, 1199, 3161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34760 and 34771. The biggest common factor number is the GCF number.
So the greatest common factor 34760 and 34771 is 11.

Also check out the Least Common Multiple of 34760 and 34771