What is the Greatest Common Factor of 52172 and 52192?

Greatest common factor (GCF) of 52172 and 52192 is 4.

GCF(52172,52192) = 4

We will now calculate the prime factors of 52172 and 52192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52172 and 52192.

How to find the GCF of 52172 and 52192?

We will first find the prime factorization of 52172 and 52192. After we will calculate the factors of 52172 and 52192 and find the biggest common factor number .

Step-1: Prime Factorization of 52172

Prime factors of 52172 are 2, 13043. Prime factorization of 52172 in exponential form is:

52172 = 2² × 13043¹

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 52172

List of positive integer factors of 52172 that divides 52172 without a remainder.

1, 2, 4, 13043, 26086

Step-4: Factors of 52192

List of positive integer factors of 52192 that divides 52172 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 52172 and 52192. The biggest common factor number is the GCF number.
So the greatest common factor 52172 and 52192 is 4.

Also check out the Least Common Multiple of 52172 and 52192