What is the Greatest Common Factor of 35357 and 35376?

Greatest common factor (GCF) of 35357 and 35376 is 1.

GCF(35357,35376) = 1

We will now calculate the prime factors of 35357 and 35376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35357 and 35376.

How to find the GCF of 35357 and 35376?

We will first find the prime factorization of 35357 and 35376. After we will calculate the factors of 35357 and 35376 and find the biggest common factor number .

Step-1: Prime Factorization of 35357

Prime factors of 35357 are 7, 5051. Prime factorization of 35357 in exponential form is:

35357 = 7¹ × 5051¹

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 35357

List of positive integer factors of 35357 that divides 35357 without a remainder.

1, 7, 5051

Step-4: Factors of 35376

List of positive integer factors of 35376 that divides 35357 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 35357 and 35376. The biggest common factor number is the GCF number.
So the greatest common factor 35357 and 35376 is 1.

Also check out the Least Common Multiple of 35357 and 35376