What is the Greatest Common Factor of 35696 and 35711?

Greatest common factor (GCF) of 35696 and 35711 is 1.

GCF(35696,35711) = 1

We will now calculate the prime factors of 35696 and 35711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35696 and 35711.

How to find the GCF of 35696 and 35711?

We will first find the prime factorization of 35696 and 35711. After we will calculate the factors of 35696 and 35711 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 35711

Prime factors of 35711 are 13, 41, 67. Prime factorization of 35711 in exponential form is:

35711 = 13¹ × 41¹ × 67¹

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 35711

List of positive integer factors of 35711 that divides 35696 without a remainder.

1, 13, 41, 67, 533, 871, 2747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35696 and 35711. The biggest common factor number is the GCF number.
So the greatest common factor 35696 and 35711 is 1.

Also check out the Least Common Multiple of 35696 and 35711