What is the Greatest Common Factor of 35479 and 35496?

Greatest common factor (GCF) of 35479 and 35496 is 17.

GCF(35479,35496) = 17

We will now calculate the prime factors of 35479 and 35496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35479 and 35496.

How to find the GCF of 35479 and 35496?

We will first find the prime factorization of 35479 and 35496. After we will calculate the factors of 35479 and 35496 and find the biggest common factor number .

Step-1: Prime Factorization of 35479

Prime factors of 35479 are 17, 2087. Prime factorization of 35479 in exponential form is:

35479 = 17¹ × 2087¹

Step-2: Prime Factorization of 35496

Prime factors of 35496 are 2, 3, 17, 29. Prime factorization of 35496 in exponential form is:

35496 = 2³ × 3² × 17¹ × 29¹

Step-3: Factors of 35479

List of positive integer factors of 35479 that divides 35479 without a remainder.

1, 17, 2087

Step-4: Factors of 35496

List of positive integer factors of 35496 that divides 35479 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 29, 34, 36, 51, 58, 68, 72, 87, 102, 116, 136, 153, 174, 204, 232, 261, 306, 348, 408, 493, 522, 612, 696, 986, 1044, 1224, 1479, 1972, 2088, 2958, 3944, 4437, 5916, 8874, 11832, 17748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35479 and 35496. The biggest common factor number is the GCF number.
So the greatest common factor 35479 and 35496 is 17.

Also check out the Least Common Multiple of 35479 and 35496