What is the Greatest Common Factor of 77216 and 77235?

Greatest common factor (GCF) of 77216 and 77235 is 19.

GCF(77216,77235) = 19

We will now calculate the prime factors of 77216 and 77235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77216 and 77235.

How to find the GCF of 77216 and 77235?

We will first find the prime factorization of 77216 and 77235. After we will calculate the factors of 77216 and 77235 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 77235

Prime factors of 77235 are 3, 5, 19, 271. Prime factorization of 77235 in exponential form is:

77235 = 3¹ × 5¹ × 19¹ × 271¹

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 77235

List of positive integer factors of 77235 that divides 77216 without a remainder.

1, 3, 5, 15, 19, 57, 95, 271, 285, 813, 1355, 4065, 5149, 15447, 25745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77216 and 77235. The biggest common factor number is the GCF number.
So the greatest common factor 77216 and 77235 is 19.

Also check out the Least Common Multiple of 77216 and 77235