What is the Greatest Common Factor of 52638 and 52654?

Greatest common factor (GCF) of 52638 and 52654 is 2.

GCF(52638,52654) = 2

We will now calculate the prime factors of 52638 and 52654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52638 and 52654.

How to find the GCF of 52638 and 52654?

We will first find the prime factorization of 52638 and 52654. After we will calculate the factors of 52638 and 52654 and find the biggest common factor number .

Step-1: Prime Factorization of 52638

Prime factors of 52638 are 2, 3, 31, 283. Prime factorization of 52638 in exponential form is:

52638 = 2¹ × 3¹ × 31¹ × 283¹

Step-2: Prime Factorization of 52654

Prime factors of 52654 are 2, 7, 3761. Prime factorization of 52654 in exponential form is:

52654 = 2¹ × 7¹ × 3761¹

Step-3: Factors of 52638

List of positive integer factors of 52638 that divides 52638 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 283, 566, 849, 1698, 8773, 17546, 26319

Step-4: Factors of 52654

List of positive integer factors of 52654 that divides 52638 without a remainder.

1, 2, 7, 14, 3761, 7522, 26327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52638 and 52654. The biggest common factor number is the GCF number.
So the greatest common factor 52638 and 52654 is 2.

Also check out the Least Common Multiple of 52638 and 52654