What is the Greatest Common Factor of 77262 and 77274?

Greatest common factor (GCF) of 77262 and 77274 is 6.

GCF(77262,77274) = 6

We will now calculate the prime factors of 77262 and 77274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77262 and 77274.

How to find the GCF of 77262 and 77274?

We will first find the prime factorization of 77262 and 77274. After we will calculate the factors of 77262 and 77274 and find the biggest common factor number .

Step-1: Prime Factorization of 77262

Prime factors of 77262 are 2, 3, 79, 163. Prime factorization of 77262 in exponential form is:

77262 = 2¹ × 3¹ × 79¹ × 163¹

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 77262

List of positive integer factors of 77262 that divides 77262 without a remainder.

1, 2, 3, 6, 79, 158, 163, 237, 326, 474, 489, 978, 12877, 25754, 38631

Step-4: Factors of 77274

List of positive integer factors of 77274 that divides 77262 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 77262 and 77274. The biggest common factor number is the GCF number.
So the greatest common factor 77262 and 77274 is 6.

Also check out the Least Common Multiple of 77262 and 77274