What is the Greatest Common Factor of 62188 and 62202?

Greatest common factor (GCF) of 62188 and 62202 is 14.

GCF(62188,62202) = 14

We will now calculate the prime factors of 62188 and 62202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62188 and 62202.

How to find the GCF of 62188 and 62202?

We will first find the prime factorization of 62188 and 62202. After we will calculate the factors of 62188 and 62202 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 62202

Prime factors of 62202 are 2, 3, 7, 1481. Prime factorization of 62202 in exponential form is:

62202 = 2¹ × 3¹ × 7¹ × 1481¹

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 62202

List of positive integer factors of 62202 that divides 62188 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1481, 2962, 4443, 8886, 10367, 20734, 31101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62188 and 62202. The biggest common factor number is the GCF number.
So the greatest common factor 62188 and 62202 is 14.

Also check out the Least Common Multiple of 62188 and 62202