What is the Greatest Common Factor of 77262 and 77266?

Greatest common factor (GCF) of 77262 and 77266 is 2.

GCF(77262,77266) = 2

We will now calculate the prime factors of 77262 and 77266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77262 and 77266.

How to find the GCF of 77262 and 77266?

We will first find the prime factorization of 77262 and 77266. After we will calculate the factors of 77262 and 77266 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 77266

Prime factors of 77266 are 2, 7, 5519. Prime factorization of 77266 in exponential form is:

77266 = 2¹ × 7¹ × 5519¹

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 77266

List of positive integer factors of 77266 that divides 77262 without a remainder.

1, 2, 7, 14, 5519, 11038, 38633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77262 and 77266. The biggest common factor number is the GCF number.
So the greatest common factor 77262 and 77266 is 2.

Also check out the Least Common Multiple of 77262 and 77266