What is the Greatest Common Factor of 62160 and 62164?

Greatest common factor (GCF) of 62160 and 62164 is 4.

GCF(62160,62164) = 4

We will now calculate the prime factors of 62160 and 62164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62160 and 62164.

How to find the GCF of 62160 and 62164?

We will first find the prime factorization of 62160 and 62164. After we will calculate the factors of 62160 and 62164 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 62164

Prime factors of 62164 are 2, 15541. Prime factorization of 62164 in exponential form is:

62164 = 2² × 15541¹

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 62164

List of positive integer factors of 62164 that divides 62160 without a remainder.

1, 2, 4, 15541, 31082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62160 and 62164. The biggest common factor number is the GCF number.
So the greatest common factor 62160 and 62164 is 4.

Also check out the Least Common Multiple of 62160 and 62164