What is the Greatest Common Factor of 62160 and 62174?

Greatest common factor (GCF) of 62160 and 62174 is 14.

GCF(62160,62174) = 14

We will now calculate the prime factors of 62160 and 62174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62160 and 62174.

How to find the GCF of 62160 and 62174?

We will first find the prime factorization of 62160 and 62174. After we will calculate the factors of 62160 and 62174 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 62174

Prime factors of 62174 are 2, 7, 4441. Prime factorization of 62174 in exponential form is:

62174 = 2¹ × 7¹ × 4441¹

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 62174

List of positive integer factors of 62174 that divides 62160 without a remainder.

1, 2, 7, 14, 4441, 8882, 31087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62160 and 62174. The biggest common factor number is the GCF number.
So the greatest common factor 62160 and 62174 is 14.

Also check out the Least Common Multiple of 62160 and 62174