What is the Greatest Common Factor of 62158 and 62174?

Greatest common factor (GCF) of 62158 and 62174 is 2.

GCF(62158,62174) = 2

We will now calculate the prime factors of 62158 and 62174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62158 and 62174.

How to find the GCF of 62158 and 62174?

We will first find the prime factorization of 62158 and 62174. After we will calculate the factors of 62158 and 62174 and find the biggest common factor number .

Step-1: Prime Factorization of 62158

Prime factors of 62158 are 2, 31079. Prime factorization of 62158 in exponential form is:

62158 = 2¹ × 31079¹

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 62158

List of positive integer factors of 62158 that divides 62158 without a remainder.

1, 2, 31079

Step-4: Factors of 62174

List of positive integer factors of 62174 that divides 62158 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62158 and 62174. The biggest common factor number is the GCF number.
So the greatest common factor 62158 and 62174 is 2.

Also check out the Least Common Multiple of 62158 and 62174