What is the Greatest Common Factor of 35216 and 35234?

Greatest common factor (GCF) of 35216 and 35234 is 2.

GCF(35216,35234) = 2

We will now calculate the prime factors of 35216 and 35234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35216 and 35234.

How to find the GCF of 35216 and 35234?

We will first find the prime factorization of 35216 and 35234. After we will calculate the factors of 35216 and 35234 and find the biggest common factor number .

Step-1: Prime Factorization of 35216

Prime factors of 35216 are 2, 31, 71. Prime factorization of 35216 in exponential form is:

35216 = 2⁴ × 31¹ × 71¹

Step-2: Prime Factorization of 35234

Prime factors of 35234 are 2, 79, 223. Prime factorization of 35234 in exponential form is:

35234 = 2¹ × 79¹ × 223¹

Step-3: Factors of 35216

List of positive integer factors of 35216 that divides 35216 without a remainder.

1, 2, 4, 8, 16, 31, 62, 71, 124, 142, 248, 284, 496, 568, 1136, 2201, 4402, 8804, 17608

Step-4: Factors of 35234

List of positive integer factors of 35234 that divides 35216 without a remainder.

1, 2, 79, 158, 223, 446, 17617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35216 and 35234. The biggest common factor number is the GCF number.
So the greatest common factor 35216 and 35234 is 2.

Also check out the Least Common Multiple of 35216 and 35234