What is the Greatest Common Factor of 62188 and 62206?

Greatest common factor (GCF) of 62188 and 62206 is 2.

GCF(62188,62206) = 2

We will now calculate the prime factors of 62188 and 62206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62188 and 62206.

How to find the GCF of 62188 and 62206?

We will first find the prime factorization of 62188 and 62206. After we will calculate the factors of 62188 and 62206 and find the biggest common factor number .

Step-1: Prime Factorization of 62188

Prime factors of 62188 are 2, 7, 2221. Prime factorization of 62188 in exponential form is:

62188 = 2² × 7¹ × 2221¹

Step-2: Prime Factorization of 62206

Prime factors of 62206 are 2, 19, 1637. Prime factorization of 62206 in exponential form is:

62206 = 2¹ × 19¹ × 1637¹

Step-3: Factors of 62188

List of positive integer factors of 62188 that divides 62188 without a remainder.

1, 2, 4, 7, 14, 28, 2221, 4442, 8884, 15547, 31094

Step-4: Factors of 62206

List of positive integer factors of 62206 that divides 62188 without a remainder.

1, 2, 19, 38, 1637, 3274, 31103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62188 and 62206. The biggest common factor number is the GCF number.
So the greatest common factor 62188 and 62206 is 2.

Also check out the Least Common Multiple of 62188 and 62206