What is the Greatest Common Factor of 35696 and 35708?

Greatest common factor (GCF) of 35696 and 35708 is 4.

GCF(35696,35708) = 4

We will now calculate the prime factors of 35696 and 35708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35696 and 35708.

How to find the GCF of 35696 and 35708?

We will first find the prime factorization of 35696 and 35708. After we will calculate the factors of 35696 and 35708 and find the biggest common factor number .

Step-1: Prime Factorization of 35696

Prime factors of 35696 are 2, 23, 97. Prime factorization of 35696 in exponential form is:

35696 = 2⁴ × 23¹ × 97¹

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 35696

List of positive integer factors of 35696 that divides 35696 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 97, 184, 194, 368, 388, 776, 1552, 2231, 4462, 8924, 17848

Step-4: Factors of 35708

List of positive integer factors of 35708 that divides 35696 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 35696 and 35708. The biggest common factor number is the GCF number.
So the greatest common factor 35696 and 35708 is 4.

Also check out the Least Common Multiple of 35696 and 35708