What is the Greatest Common Factor of 35690 and 35708?

Greatest common factor (GCF) of 35690 and 35708 is 2.

GCF(35690,35708) = 2

We will now calculate the prime factors of 35690 and 35708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35690 and 35708.

How to find the GCF of 35690 and 35708?

We will first find the prime factorization of 35690 and 35708. After we will calculate the factors of 35690 and 35708 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 35708

Prime factors of 35708 are 2, 79, 113. Prime factorization of 35708 in exponential form is:

35708 = 2² × 79¹ × 113¹

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 35708

List of positive integer factors of 35708 that divides 35690 without a remainder.

1, 2, 4, 79, 113, 158, 226, 316, 452, 8927, 17854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35690 and 35708. The biggest common factor number is the GCF number.
So the greatest common factor 35690 and 35708 is 2.

Also check out the Least Common Multiple of 35690 and 35708