What is the Greatest Common Factor of 77228 and 77237?

Greatest common factor (GCF) of 77228 and 77237 is 1.

GCF(77228,77237) = 1

We will now calculate the prime factors of 77228 and 77237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77228 and 77237.

How to find the GCF of 77228 and 77237?

We will first find the prime factorization of 77228 and 77237. After we will calculate the factors of 77228 and 77237 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 77237

Prime factors of 77237 are 77237. Prime factorization of 77237 in exponential form is:

77237 = 77237¹

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 77237

List of positive integer factors of 77237 that divides 77228 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77228 and 77237. The biggest common factor number is the GCF number.
So the greatest common factor 77228 and 77237 is 1.

Also check out the Least Common Multiple of 77228 and 77237