What is the Greatest Common Factor of 77216 and 77226?

Greatest common factor (GCF) of 77216 and 77226 is 2.

GCF(77216,77226) = 2

We will now calculate the prime factors of 77216 and 77226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77216 and 77226.

How to find the GCF of 77216 and 77226?

We will first find the prime factorization of 77216 and 77226. After we will calculate the factors of 77216 and 77226 and find the biggest common factor number .

Step-1: Prime Factorization of 77216

Prime factors of 77216 are 2, 19, 127. Prime factorization of 77216 in exponential form is:

77216 = 2⁵ × 19¹ × 127¹

Step-2: Prime Factorization of 77226

Prime factors of 77226 are 2, 3, 61, 211. Prime factorization of 77226 in exponential form is:

77226 = 2¹ × 3¹ × 61¹ × 211¹

Step-3: Factors of 77216

List of positive integer factors of 77216 that divides 77216 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 127, 152, 254, 304, 508, 608, 1016, 2032, 2413, 4064, 4826, 9652, 19304, 38608

Step-4: Factors of 77226

List of positive integer factors of 77226 that divides 77216 without a remainder.

1, 2, 3, 6, 61, 122, 183, 211, 366, 422, 633, 1266, 12871, 25742, 38613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77216 and 77226. The biggest common factor number is the GCF number.
So the greatest common factor 77216 and 77226 is 2.

Also check out the Least Common Multiple of 77216 and 77226