What is the Greatest Common Factor of 62192 and 62204?

Greatest common factor (GCF) of 62192 and 62204 is 4.

GCF(62192,62204) = 4

We will now calculate the prime factors of 62192 and 62204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62192 and 62204.

How to find the GCF of 62192 and 62204?

We will first find the prime factorization of 62192 and 62204. After we will calculate the factors of 62192 and 62204 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 62204

Prime factors of 62204 are 2, 15551. Prime factorization of 62204 in exponential form is:

62204 = 2² × 15551¹

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 62204

List of positive integer factors of 62204 that divides 62192 without a remainder.

1, 2, 4, 15551, 31102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62192 and 62204. The biggest common factor number is the GCF number.
So the greatest common factor 62192 and 62204 is 4.

Also check out the Least Common Multiple of 62192 and 62204