What is the Greatest Common Factor of 62172 and 62192?

Greatest common factor (GCF) of 62172 and 62192 is 4.

GCF(62172,62192) = 4

We will now calculate the prime factors of 62172 and 62192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62172 and 62192.

How to find the GCF of 62172 and 62192?

We will first find the prime factorization of 62172 and 62192. After we will calculate the factors of 62172 and 62192 and find the biggest common factor number .

Step-1: Prime Factorization of 62172

Prime factors of 62172 are 2, 3, 11, 157. Prime factorization of 62172 in exponential form is:

62172 = 2² × 3² × 11¹ × 157¹

Step-2: Prime Factorization of 62192

Prime factors of 62192 are 2, 13, 23. Prime factorization of 62192 in exponential form is:

62192 = 2⁴ × 13² × 23¹

Step-3: Factors of 62172

List of positive integer factors of 62172 that divides 62172 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 157, 198, 314, 396, 471, 628, 942, 1413, 1727, 1884, 2826, 3454, 5181, 5652, 6908, 10362, 15543, 20724, 31086

Step-4: Factors of 62192

List of positive integer factors of 62192 that divides 62172 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 169, 184, 208, 299, 338, 368, 598, 676, 1196, 1352, 2392, 2704, 3887, 4784, 7774, 15548, 31096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62172 and 62192. The biggest common factor number is the GCF number.
So the greatest common factor 62172 and 62192 is 4.

Also check out the Least Common Multiple of 62172 and 62192