What is the Greatest Common Factor of 62174 and 62189?

Greatest common factor (GCF) of 62174 and 62189 is 1.

GCF(62174,62189) = 1

We will now calculate the prime factors of 62174 and 62189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62174 and 62189.

How to find the GCF of 62174 and 62189?

We will first find the prime factorization of 62174 and 62189. After we will calculate the factors of 62174 and 62189 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 62189

Prime factors of 62189 are 62189. Prime factorization of 62189 in exponential form is:

62189 = 62189¹

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 62189

List of positive integer factors of 62189 that divides 62174 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62174 and 62189. The biggest common factor number is the GCF number.
So the greatest common factor 62174 and 62189 is 1.

Also check out the Least Common Multiple of 62174 and 62189