What is the Greatest Common Factor of 62164 and 62180?

Greatest common factor (GCF) of 62164 and 62180 is 4.

GCF(62164,62180) = 4

We will now calculate the prime factors of 62164 and 62180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62164 and 62180.

How to find the GCF of 62164 and 62180?

We will first find the prime factorization of 62164 and 62180. After we will calculate the factors of 62164 and 62180 and find the biggest common factor number .

Step-1: Prime Factorization of 62164

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

62164 = 2² × 15541¹

Step-2: Prime Factorization of 62180

Prime factors of 62180 are 2, 5, 3109. Prime factorization of 62180 in exponential form is:

62180 = 2² × 5¹ × 3109¹

Step-3: Factors of 62164

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

1, 2, 4, 15541, 31082

Step-4: Factors of 62180

List of positive integer factors of 62180 that divides 62164 without a remainder.

1, 2, 4, 5, 10, 20, 3109, 6218, 12436, 15545, 31090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62164 and 62180. The biggest common factor number is the GCF number.
So the greatest common factor 62164 and 62180 is 4.

Also check out the Least Common Multiple of 62164 and 62180