What is the Greatest Common Factor of 35376 and 35389?

Greatest common factor (GCF) of 35376 and 35389 is 1.

GCF(35376,35389) = 1

We will now calculate the prime factors of 35376 and 35389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35376 and 35389.

How to find the GCF of 35376 and 35389?

We will first find the prime factorization of 35376 and 35389. After we will calculate the factors of 35376 and 35389 and find the biggest common factor number .

Step-1: Prime Factorization of 35376

Prime factors of 35376 are 2, 3, 11, 67. Prime factorization of 35376 in exponential form is:

35376 = 2⁴ × 3¹ × 11¹ × 67¹

Step-2: Prime Factorization of 35389

Prime factors of 35389 are 43, 823. Prime factorization of 35389 in exponential form is:

35389 = 43¹ × 823¹

Step-3: Factors of 35376

List of positive integer factors of 35376 that divides 35376 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 67, 88, 132, 134, 176, 201, 264, 268, 402, 528, 536, 737, 804, 1072, 1474, 1608, 2211, 2948, 3216, 4422, 5896, 8844, 11792, 17688

Step-4: Factors of 35389

List of positive integer factors of 35389 that divides 35376 without a remainder.

1, 43, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35376 and 35389. The biggest common factor number is the GCF number.
So the greatest common factor 35376 and 35389 is 1.

Also check out the Least Common Multiple of 35376 and 35389