What is the Greatest Common Factor of 62144 and 62160?

Greatest common factor (GCF) of 62144 and 62160 is 16.

GCF(62144,62160) = 16

We will now calculate the prime factors of 62144 and 62160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62144 and 62160.

How to find the GCF of 62144 and 62160?

We will first find the prime factorization of 62144 and 62160. After we will calculate the factors of 62144 and 62160 and find the biggest common factor number .

Step-1: Prime Factorization of 62144

Prime factors of 62144 are 2, 971. Prime factorization of 62144 in exponential form is:

62144 = 2⁶ × 971¹

Step-2: 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-3: Factors of 62144

List of positive integer factors of 62144 that divides 62144 without a remainder.

1, 2, 4, 8, 16, 32, 64, 971, 1942, 3884, 7768, 15536, 31072

Step-4: Factors of 62160

List of positive integer factors of 62160 that divides 62144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62144 and 62160. The biggest common factor number is the GCF number.
So the greatest common factor 62144 and 62160 is 16.

Also check out the Least Common Multiple of 62144 and 62160