What is the Greatest Common Factor of 65200 and 65212?

Greatest common factor (GCF) of 65200 and 65212 is 4.

GCF(65200,65212) = 4

We will now calculate the prime factors of 65200 and 65212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65200 and 65212.

How to find the GCF of 65200 and 65212?

We will first find the prime factorization of 65200 and 65212. After we will calculate the factors of 65200 and 65212 and find the biggest common factor number .

Step-1: Prime Factorization of 65200

Prime factors of 65200 are 2, 5, 163. Prime factorization of 65200 in exponential form is:

65200 = 2⁴ × 5² × 163¹

Step-2: Prime Factorization of 65212

Prime factors of 65212 are 2, 7, 17, 137. Prime factorization of 65212 in exponential form is:

65212 = 2² × 7¹ × 17¹ × 137¹

Step-3: Factors of 65200

List of positive integer factors of 65200 that divides 65200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 163, 200, 326, 400, 652, 815, 1304, 1630, 2608, 3260, 4075, 6520, 8150, 13040, 16300, 32600

Step-4: Factors of 65212

List of positive integer factors of 65212 that divides 65200 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 137, 238, 274, 476, 548, 959, 1918, 2329, 3836, 4658, 9316, 16303, 32606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65200 and 65212. The biggest common factor number is the GCF number.
So the greatest common factor 65200 and 65212 is 4.

Also check out the Least Common Multiple of 65200 and 65212