What is the Greatest Common Factor of 35690 and 35695?

Greatest common factor (GCF) of 35690 and 35695 is 5.

GCF(35690,35695) = 5

We will now calculate the prime factors of 35690 and 35695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35690 and 35695.

How to find the GCF of 35690 and 35695?

We will first find the prime factorization of 35690 and 35695. After we will calculate the factors of 35690 and 35695 and find the biggest common factor number .

Step-1: Prime Factorization of 35690

Prime factors of 35690 are 2, 5, 43, 83. Prime factorization of 35690 in exponential form is:

35690 = 2¹ × 5¹ × 43¹ × 83¹

Step-2: Prime Factorization of 35695

Prime factors of 35695 are 5, 11, 59. Prime factorization of 35695 in exponential form is:

35695 = 5¹ × 11² × 59¹

Step-3: Factors of 35690

List of positive integer factors of 35690 that divides 35690 without a remainder.

1, 2, 5, 10, 43, 83, 86, 166, 215, 415, 430, 830, 3569, 7138, 17845

Step-4: Factors of 35695

List of positive integer factors of 35695 that divides 35690 without a remainder.

1, 5, 11, 55, 59, 121, 295, 605, 649, 3245, 7139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35690 and 35695. The biggest common factor number is the GCF number.
So the greatest common factor 35690 and 35695 is 5.

Also check out the Least Common Multiple of 35690 and 35695