What is the Greatest Common Factor of 77274 and 77292?

Greatest common factor (GCF) of 77274 and 77292 is 18.

GCF(77274,77292) = 18

We will now calculate the prime factors of 77274 and 77292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77274 and 77292.

How to find the GCF of 77274 and 77292?

We will first find the prime factorization of 77274 and 77292. After we will calculate the factors of 77274 and 77292 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77292

Prime factors of 77292 are 2, 3, 19, 113. Prime factorization of 77292 in exponential form is:

77292 = 2² × 3² × 19¹ × 113¹

Step-3: Factors of 77274

List of positive integer factors of 77274 that divides 77274 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

Step-4: Factors of 77292

List of positive integer factors of 77292 that divides 77274 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 113, 114, 171, 226, 228, 339, 342, 452, 678, 684, 1017, 1356, 2034, 2147, 4068, 4294, 6441, 8588, 12882, 19323, 25764, 38646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77274 and 77292. The biggest common factor number is the GCF number.
So the greatest common factor 77274 and 77292 is 18.

Also check out the Least Common Multiple of 77274 and 77292