What is the Greatest Common Factor of 77258 and 77274?

Greatest common factor (GCF) of 77258 and 77274 is 2.

GCF(77258,77274) = 2

We will now calculate the prime factors of 77258 and 77274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77258 and 77274.

How to find the GCF of 77258 and 77274?

We will first find the prime factorization of 77258 and 77274. After we will calculate the factors of 77258 and 77274 and find the biggest common factor number .

Step-1: Prime Factorization of 77258

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

77258 = 2¹ × 38629¹

Step-2: Prime Factorization of 77274

Prime factors of 77274 are 2, 3, 53. Prime factorization of 77274 in exponential form is:

77274 = 2¹ × 3⁶ × 53¹

Step-3: Factors of 77258

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

1, 2, 38629

Step-4: Factors of 77274

List of positive integer factors of 77274 that divides 77258 without a remainder.

1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 243, 318, 477, 486, 729, 954, 1431, 1458, 2862, 4293, 8586, 12879, 25758, 38637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77258 and 77274. The biggest common factor number is the GCF number.
So the greatest common factor 77258 and 77274 is 2.

Also check out the Least Common Multiple of 77258 and 77274