What is the Greatest Common Factor of 52752 and 52766?

Greatest common factor (GCF) of 52752 and 52766 is 14.

GCF(52752,52766) = 14

We will now calculate the prime factors of 52752 and 52766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52752 and 52766.

How to find the GCF of 52752 and 52766?

We will first find the prime factorization of 52752 and 52766. After we will calculate the factors of 52752 and 52766 and find the biggest common factor number .

Step-1: Prime Factorization of 52752

Prime factors of 52752 are 2, 3, 7, 157. Prime factorization of 52752 in exponential form is:

52752 = 2⁴ × 3¹ × 7¹ × 157¹

Step-2: Prime Factorization of 52766

Prime factors of 52766 are 2, 7, 3769. Prime factorization of 52766 in exponential form is:

52766 = 2¹ × 7¹ × 3769¹

Step-3: Factors of 52752

List of positive integer factors of 52752 that divides 52752 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 157, 168, 314, 336, 471, 628, 942, 1099, 1256, 1884, 2198, 2512, 3297, 3768, 4396, 6594, 7536, 8792, 13188, 17584, 26376

Step-4: Factors of 52766

List of positive integer factors of 52766 that divides 52752 without a remainder.

1, 2, 7, 14, 3769, 7538, 26383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52752 and 52766. The biggest common factor number is the GCF number.
So the greatest common factor 52752 and 52766 is 14.

Also check out the Least Common Multiple of 52752 and 52766