What is the Greatest Common Factor of 65236 and 65254?

Greatest common factor (GCF) of 65236 and 65254 is 2.

GCF(65236,65254) = 2

We will now calculate the prime factors of 65236 and 65254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65236 and 65254.

How to find the GCF of 65236 and 65254?

We will first find the prime factorization of 65236 and 65254. After we will calculate the factors of 65236 and 65254 and find the biggest common factor number .

Step-1: Prime Factorization of 65236

Prime factors of 65236 are 2, 47, 347. Prime factorization of 65236 in exponential form is:

65236 = 2² × 47¹ × 347¹

Step-2: Prime Factorization of 65254

Prime factors of 65254 are 2, 7, 59, 79. Prime factorization of 65254 in exponential form is:

65254 = 2¹ × 7¹ × 59¹ × 79¹

Step-3: Factors of 65236

List of positive integer factors of 65236 that divides 65236 without a remainder.

1, 2, 4, 47, 94, 188, 347, 694, 1388, 16309, 32618

Step-4: Factors of 65254

List of positive integer factors of 65254 that divides 65236 without a remainder.

1, 2, 7, 14, 59, 79, 118, 158, 413, 553, 826, 1106, 4661, 9322, 32627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65236 and 65254. The biggest common factor number is the GCF number.
So the greatest common factor 65236 and 65254 is 2.

Also check out the Least Common Multiple of 65236 and 65254