What is the Greatest Common Factor of 77221 and 77238?

Greatest common factor (GCF) of 77221 and 77238 is 1.

GCF(77221,77238) = 1

We will now calculate the prime factors of 77221 and 77238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77221 and 77238.

How to find the GCF of 77221 and 77238?

We will first find the prime factorization of 77221 and 77238. After we will calculate the factors of 77221 and 77238 and find the biggest common factor number .

Step-1: Prime Factorization of 77221

Prime factors of 77221 are 31, 47, 53. Prime factorization of 77221 in exponential form is:

77221 = 31¹ × 47¹ × 53¹

Step-2: Prime Factorization of 77238

Prime factors of 77238 are 2, 3, 7, 613. Prime factorization of 77238 in exponential form is:

77238 = 2¹ × 3² × 7¹ × 613¹

Step-3: Factors of 77221

List of positive integer factors of 77221 that divides 77221 without a remainder.

1, 31, 47, 53, 1457, 1643, 2491

Step-4: Factors of 77238

List of positive integer factors of 77238 that divides 77221 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 613, 1226, 1839, 3678, 4291, 5517, 8582, 11034, 12873, 25746, 38619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77221 and 77238. The biggest common factor number is the GCF number.
So the greatest common factor 77221 and 77238 is 1.

Also check out the Least Common Multiple of 77221 and 77238