What is the Greatest Common Factor of 52176 and 52192?

Greatest common factor (GCF) of 52176 and 52192 is 16.

GCF(52176,52192) = 16

We will now calculate the prime factors of 52176 and 52192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52176 and 52192.

How to find the GCF of 52176 and 52192?

We will first find the prime factorization of 52176 and 52192. After we will calculate the factors of 52176 and 52192 and find the biggest common factor number .

Step-1: Prime Factorization of 52176

Prime factors of 52176 are 2, 3, 1087. Prime factorization of 52176 in exponential form is:

52176 = 2⁴ × 3¹ × 1087¹

Step-2: Prime Factorization of 52192

Prime factors of 52192 are 2, 7, 233. Prime factorization of 52192 in exponential form is:

52192 = 2⁵ × 7¹ × 233¹

Step-3: Factors of 52176

List of positive integer factors of 52176 that divides 52176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1087, 2174, 3261, 4348, 6522, 8696, 13044, 17392, 26088

Step-4: Factors of 52192

List of positive integer factors of 52192 that divides 52176 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 233, 466, 932, 1631, 1864, 3262, 3728, 6524, 7456, 13048, 26096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52176 and 52192. The biggest common factor number is the GCF number.
So the greatest common factor 52176 and 52192 is 16.

Also check out the Least Common Multiple of 52176 and 52192