What is the Greatest Common Factor of 77266 and 77282?

Greatest common factor (GCF) of 77266 and 77282 is 2.

GCF(77266,77282) = 2

We will now calculate the prime factors of 77266 and 77282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77266 and 77282.

How to find the GCF of 77266 and 77282?

We will first find the prime factorization of 77266 and 77282. After we will calculate the factors of 77266 and 77282 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77282

Prime factors of 77282 are 2, 17, 2273. Prime factorization of 77282 in exponential form is:

77282 = 2¹ × 17¹ × 2273¹

Step-3: Factors of 77266

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

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

Step-4: Factors of 77282

List of positive integer factors of 77282 that divides 77266 without a remainder.

1, 2, 17, 34, 2273, 4546, 38641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77266 and 77282. The biggest common factor number is the GCF number.
So the greatest common factor 77266 and 77282 is 2.

Also check out the Least Common Multiple of 77266 and 77282