What is the Greatest Common Factor of 62174 and 62186?

Greatest common factor (GCF) of 62174 and 62186 is 2.

GCF(62174,62186) = 2

We will now calculate the prime factors of 62174 and 62186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62174 and 62186.

How to find the GCF of 62174 and 62186?

We will first find the prime factorization of 62174 and 62186. After we will calculate the factors of 62174 and 62186 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62186

Prime factors of 62186 are 2, 17, 31, 59. Prime factorization of 62186 in exponential form is:

62186 = 2¹ × 17¹ × 31¹ × 59¹

Step-3: Factors of 62174

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

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

Step-4: Factors of 62186

List of positive integer factors of 62186 that divides 62174 without a remainder.

1, 2, 17, 31, 34, 59, 62, 118, 527, 1003, 1054, 1829, 2006, 3658, 31093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62174 and 62186. The biggest common factor number is the GCF number.
So the greatest common factor 62174 and 62186 is 2.

Also check out the Least Common Multiple of 62174 and 62186