What is the Greatest Common Factor of 62160 and 62172?

Greatest common factor (GCF) of 62160 and 62172 is 12.

GCF(62160,62172) = 12

We will now calculate the prime factors of 62160 and 62172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62160 and 62172.

How to find the GCF of 62160 and 62172?

We will first find the prime factorization of 62160 and 62172. After we will calculate the factors of 62160 and 62172 and find the biggest common factor number .

Step-1: Prime Factorization of 62160

Prime factors of 62160 are 2, 3, 5, 7, 37. Prime factorization of 62160 in exponential form is:

62160 = 2⁴ × 3¹ × 5¹ × 7¹ × 37¹

Step-2: 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-3: Factors of 62160

List of positive integer factors of 62160 that divides 62160 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 37, 40, 42, 48, 56, 60, 70, 74, 80, 84, 105, 111, 112, 120, 140, 148, 168, 185, 210, 222, 240, 259, 280, 296, 336, 370, 420, 444, 518, 555, 560, 592, 740, 777, 840, 888, 1036, 1110, 1295, 1480, 1554, 1680, 1776, 2072, 2220, 2590, 2960, 3108, 3885, 4144, 4440, 5180, 6216, 7770, 8880, 10360, 12432, 15540, 20720, 31080

Step-4: Factors of 62172

List of positive integer factors of 62172 that divides 62160 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62160 and 62172. The biggest common factor number is the GCF number.
So the greatest common factor 62160 and 62172 is 12.

Also check out the Least Common Multiple of 62160 and 62172