What is the Greatest Common Factor of 77228 and 77233?

Greatest common factor (GCF) of 77228 and 77233 is 1.

GCF(77228,77233) = 1

We will now calculate the prime factors of 77228 and 77233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77228 and 77233.

How to find the GCF of 77228 and 77233?

We will first find the prime factorization of 77228 and 77233. After we will calculate the factors of 77228 and 77233 and find the biggest common factor number .

Step-1: Prime Factorization of 77228

Prime factors of 77228 are 2, 43, 449. Prime factorization of 77228 in exponential form is:

77228 = 2² × 43¹ × 449¹

Step-2: Prime Factorization of 77233

Prime factors of 77233 are 13, 457. Prime factorization of 77233 in exponential form is:

77233 = 13² × 457¹

Step-3: Factors of 77228

List of positive integer factors of 77228 that divides 77228 without a remainder.

1, 2, 4, 43, 86, 172, 449, 898, 1796, 19307, 38614

Step-4: Factors of 77233

List of positive integer factors of 77233 that divides 77228 without a remainder.

1, 13, 169, 457, 5941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77228 and 77233. The biggest common factor number is the GCF number.
So the greatest common factor 77228 and 77233 is 1.

Also check out the Least Common Multiple of 77228 and 77233