What is the Greatest Common Factor of 77238 and 77258?

Greatest common factor (GCF) of 77238 and 77258 is 2.

GCF(77238,77258) = 2

We will now calculate the prime factors of 77238 and 77258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77238 and 77258.

How to find the GCF of 77238 and 77258?

We will first find the prime factorization of 77238 and 77258. After we will calculate the factors of 77238 and 77258 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77258

Prime factors of 77258 are 2, 38629. Prime factorization of 77258 in exponential form is:

77258 = 2¹ × 38629¹

Step-3: Factors of 77238

List of positive integer factors of 77238 that divides 77238 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

Step-4: Factors of 77258

List of positive integer factors of 77258 that divides 77238 without a remainder.

1, 2, 38629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77238 and 77258. The biggest common factor number is the GCF number.
So the greatest common factor 77238 and 77258 is 2.

Also check out the Least Common Multiple of 77238 and 77258