What is the Greatest Common Factor of 77282 and 77288?

Greatest common factor (GCF) of 77282 and 77288 is 2.

GCF(77282,77288) = 2

We will now calculate the prime factors of 77282 and 77288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77282 and 77288.

How to find the GCF of 77282 and 77288?

We will first find the prime factorization of 77282 and 77288. After we will calculate the factors of 77282 and 77288 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77288

Prime factors of 77288 are 2, 9661. Prime factorization of 77288 in exponential form is:

77288 = 2³ × 9661¹

Step-3: Factors of 77282

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

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

Step-4: Factors of 77288

List of positive integer factors of 77288 that divides 77282 without a remainder.

1, 2, 4, 8, 9661, 19322, 38644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77282 and 77288. The biggest common factor number is the GCF number.
So the greatest common factor 77282 and 77288 is 2.

Also check out the Least Common Multiple of 77282 and 77288