What is the Greatest Common Factor of 65224 and 65238?

Greatest common factor (GCF) of 65224 and 65238 is 2.

GCF(65224,65238) = 2

We will now calculate the prime factors of 65224 and 65238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65224 and 65238.

How to find the GCF of 65224 and 65238?

We will first find the prime factorization of 65224 and 65238. After we will calculate the factors of 65224 and 65238 and find the biggest common factor number .

Step-1: Prime Factorization of 65224

Prime factors of 65224 are 2, 31, 263. Prime factorization of 65224 in exponential form is:

65224 = 2³ × 31¹ × 263¹

Step-2: Prime Factorization of 65238

Prime factors of 65238 are 2, 3, 83, 131. Prime factorization of 65238 in exponential form is:

65238 = 2¹ × 3¹ × 83¹ × 131¹

Step-3: Factors of 65224

List of positive integer factors of 65224 that divides 65224 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 263, 526, 1052, 2104, 8153, 16306, 32612

Step-4: Factors of 65238

List of positive integer factors of 65238 that divides 65224 without a remainder.

1, 2, 3, 6, 83, 131, 166, 249, 262, 393, 498, 786, 10873, 21746, 32619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65224 and 65238. The biggest common factor number is the GCF number.
So the greatest common factor 65224 and 65238 is 2.

Also check out the Least Common Multiple of 65224 and 65238