What is the Greatest Common Factor of 62160 and 62170?

Greatest common factor (GCF) of 62160 and 62170 is 10.

GCF(62160,62170) = 10

We will now calculate the prime factors of 62160 and 62170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62160 and 62170.

How to find the GCF of 62160 and 62170?

We will first find the prime factorization of 62160 and 62170. After we will calculate the factors of 62160 and 62170 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 62170

Prime factors of 62170 are 2, 5, 6217. Prime factorization of 62170 in exponential form is:

62170 = 2¹ × 5¹ × 6217¹

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 62170

List of positive integer factors of 62170 that divides 62160 without a remainder.

1, 2, 5, 10, 6217, 12434, 31085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62160 and 62170. The biggest common factor number is the GCF number.
So the greatest common factor 62160 and 62170 is 10.

Also check out the Least Common Multiple of 62160 and 62170