What is the Greatest Common Factor of 62228 and 62232?

Greatest common factor (GCF) of 62228 and 62232 is 4.

GCF(62228,62232) = 4

We will now calculate the prime factors of 62228 and 62232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62228 and 62232.

How to find the GCF of 62228 and 62232?

We will first find the prime factorization of 62228 and 62232. After we will calculate the factors of 62228 and 62232 and find the biggest common factor number .

Step-1: Prime Factorization of 62228

Prime factors of 62228 are 2, 47, 331. Prime factorization of 62228 in exponential form is:

62228 = 2² × 47¹ × 331¹

Step-2: Prime Factorization of 62232

Prime factors of 62232 are 2, 3, 2593. Prime factorization of 62232 in exponential form is:

62232 = 2³ × 3¹ × 2593¹

Step-3: Factors of 62228

List of positive integer factors of 62228 that divides 62228 without a remainder.

1, 2, 4, 47, 94, 188, 331, 662, 1324, 15557, 31114

Step-4: Factors of 62232

List of positive integer factors of 62232 that divides 62228 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2593, 5186, 7779, 10372, 15558, 20744, 31116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62228 and 62232. The biggest common factor number is the GCF number.
So the greatest common factor 62228 and 62232 is 4.

Also check out the Least Common Multiple of 62228 and 62232