What is the Greatest Common Factor of 62156 and 62174?

Greatest common factor (GCF) of 62156 and 62174 is 2.

GCF(62156,62174) = 2

We will now calculate the prime factors of 62156 and 62174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62156 and 62174.

How to find the GCF of 62156 and 62174?

We will first find the prime factorization of 62156 and 62174. After we will calculate the factors of 62156 and 62174 and find the biggest common factor number .

Step-1: Prime Factorization of 62156

Prime factors of 62156 are 2, 41, 379. Prime factorization of 62156 in exponential form is:

62156 = 2² × 41¹ × 379¹

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 62156

List of positive integer factors of 62156 that divides 62156 without a remainder.

1, 2, 4, 41, 82, 164, 379, 758, 1516, 15539, 31078

Step-4: Factors of 62174

List of positive integer factors of 62174 that divides 62156 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62156 and 62174. The biggest common factor number is the GCF number.
So the greatest common factor 62156 and 62174 is 2.

Also check out the Least Common Multiple of 62156 and 62174