What is the Greatest Common Factor of 35365 and 35376?

Greatest common factor (GCF) of 35365 and 35376 is 11.

GCF(35365,35376) = 11

We will now calculate the prime factors of 35365 and 35376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35365 and 35376.

How to find the GCF of 35365 and 35376?

We will first find the prime factorization of 35365 and 35376. After we will calculate the factors of 35365 and 35376 and find the biggest common factor number .

Step-1: Prime Factorization of 35365

Prime factors of 35365 are 5, 11, 643. Prime factorization of 35365 in exponential form is:

35365 = 5¹ × 11¹ × 643¹

Step-2: 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-3: Factors of 35365

List of positive integer factors of 35365 that divides 35365 without a remainder.

1, 5, 11, 55, 643, 3215, 7073

Step-4: Factors of 35376

List of positive integer factors of 35376 that divides 35365 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35365 and 35376. The biggest common factor number is the GCF number.
So the greatest common factor 35365 and 35376 is 11.

Also check out the Least Common Multiple of 35365 and 35376