What is the Greatest Common Factor of 35202 and 35216?

Greatest common factor (GCF) of 35202 and 35216 is 2.

GCF(35202,35216) = 2

We will now calculate the prime factors of 35202 and 35216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35202 and 35216.

How to find the GCF of 35202 and 35216?

We will first find the prime factorization of 35202 and 35216. After we will calculate the factors of 35202 and 35216 and find the biggest common factor number .

Step-1: Prime Factorization of 35202

Prime factors of 35202 are 2, 3, 5867. Prime factorization of 35202 in exponential form is:

35202 = 2¹ × 3¹ × 5867¹

Step-2: 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-3: Factors of 35202

List of positive integer factors of 35202 that divides 35202 without a remainder.

1, 2, 3, 6, 5867, 11734, 17601

Step-4: Factors of 35216

List of positive integer factors of 35216 that divides 35202 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35202 and 35216. The biggest common factor number is the GCF number.
So the greatest common factor 35202 and 35216 is 2.

Also check out the Least Common Multiple of 35202 and 35216