What is the Greatest Common Factor of 62192 and 62210?

Greatest common factor (GCF) of 62192 and 62210 is 2.

GCF(62192,62210) = 2

We will now calculate the prime factors of 62192 and 62210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62192 and 62210.

How to find the GCF of 62192 and 62210?

We will first find the prime factorization of 62192 and 62210. After we will calculate the factors of 62192 and 62210 and find the biggest common factor number .

Step-1: Prime Factorization of 62192

Prime factors of 62192 are 2, 13, 23. Prime factorization of 62192 in exponential form is:

62192 = 2⁴ × 13² × 23¹

Step-2: Prime Factorization of 62210

Prime factors of 62210 are 2, 5, 6221. Prime factorization of 62210 in exponential form is:

62210 = 2¹ × 5¹ × 6221¹

Step-3: Factors of 62192

List of positive integer factors of 62192 that divides 62192 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 169, 184, 208, 299, 338, 368, 598, 676, 1196, 1352, 2392, 2704, 3887, 4784, 7774, 15548, 31096

Step-4: Factors of 62210

List of positive integer factors of 62210 that divides 62192 without a remainder.

1, 2, 5, 10, 6221, 12442, 31105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62192 and 62210. The biggest common factor number is the GCF number.
So the greatest common factor 62192 and 62210 is 2.

Also check out the Least Common Multiple of 62192 and 62210