What is the Greatest Common Factor of 52672 and 52688?

Greatest common factor (GCF) of 52672 and 52688 is 16.

GCF(52672,52688) = 16

We will now calculate the prime factors of 52672 and 52688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52672 and 52688.

How to find the GCF of 52672 and 52688?

We will first find the prime factorization of 52672 and 52688. After we will calculate the factors of 52672 and 52688 and find the biggest common factor number .

Step-1: Prime Factorization of 52672

Prime factors of 52672 are 2, 823. Prime factorization of 52672 in exponential form is:

52672 = 2⁶ × 823¹

Step-2: Prime Factorization of 52688

Prime factors of 52688 are 2, 37, 89. Prime factorization of 52688 in exponential form is:

52688 = 2⁴ × 37¹ × 89¹

Step-3: Factors of 52672

List of positive integer factors of 52672 that divides 52672 without a remainder.

1, 2, 4, 8, 16, 32, 64, 823, 1646, 3292, 6584, 13168, 26336

Step-4: Factors of 52688

List of positive integer factors of 52688 that divides 52672 without a remainder.

1, 2, 4, 8, 16, 37, 74, 89, 148, 178, 296, 356, 592, 712, 1424, 3293, 6586, 13172, 26344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52672 and 52688. The biggest common factor number is the GCF number.
So the greatest common factor 52672 and 52688 is 16.

Also check out the Least Common Multiple of 52672 and 52688