What is the Greatest Common Factor of 35596 and 35615?

Greatest common factor (GCF) of 35596 and 35615 is 1.

GCF(35596,35615) = 1

We will now calculate the prime factors of 35596 and 35615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35596 and 35615.

How to find the GCF of 35596 and 35615?

We will first find the prime factorization of 35596 and 35615. After we will calculate the factors of 35596 and 35615 and find the biggest common factor number .

Step-1: Prime Factorization of 35596

Prime factors of 35596 are 2, 11, 809. Prime factorization of 35596 in exponential form is:

35596 = 2² × 11¹ × 809¹

Step-2: Prime Factorization of 35615

Prime factors of 35615 are 5, 17, 419. Prime factorization of 35615 in exponential form is:

35615 = 5¹ × 17¹ × 419¹

Step-3: Factors of 35596

List of positive integer factors of 35596 that divides 35596 without a remainder.

1, 2, 4, 11, 22, 44, 809, 1618, 3236, 8899, 17798

Step-4: Factors of 35615

List of positive integer factors of 35615 that divides 35596 without a remainder.

1, 5, 17, 85, 419, 2095, 7123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35596 and 35615. The biggest common factor number is the GCF number.
So the greatest common factor 35596 and 35615 is 1.

Also check out the Least Common Multiple of 35596 and 35615