What is the Greatest Common Factor of 52174 and 52192?

Greatest common factor (GCF) of 52174 and 52192 is 2.

GCF(52174,52192) = 2

We will now calculate the prime factors of 52174 and 52192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52174 and 52192.

How to find the GCF of 52174 and 52192?

We will first find the prime factorization of 52174 and 52192. After we will calculate the factors of 52174 and 52192 and find the biggest common factor number .

Step-1: Prime Factorization of 52174

Prime factors of 52174 are 2, 19, 1373. Prime factorization of 52174 in exponential form is:

52174 = 2¹ × 19¹ × 1373¹

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 52174

List of positive integer factors of 52174 that divides 52174 without a remainder.

1, 2, 19, 38, 1373, 2746, 26087

Step-4: Factors of 52192

List of positive integer factors of 52192 that divides 52174 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 52174 and 52192. The biggest common factor number is the GCF number.
So the greatest common factor 52174 and 52192 is 2.

Also check out the Least Common Multiple of 52174 and 52192