What is the Greatest Common Factor of 77933 and 77952?

Greatest common factor (GCF) of 77933 and 77952 is 1.

GCF(77933,77952) = 1

We will now calculate the prime factors of 77933 and 77952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77933 and 77952.

How to find the GCF of 77933 and 77952?

We will first find the prime factorization of 77933 and 77952. After we will calculate the factors of 77933 and 77952 and find the biggest common factor number .

Step-1: Prime Factorization of 77933

Prime factors of 77933 are 77933. Prime factorization of 77933 in exponential form is:

77933 = 77933¹

Step-2: Prime Factorization of 77952

Prime factors of 77952 are 2, 3, 7, 29. Prime factorization of 77952 in exponential form is:

77952 = 2⁷ × 3¹ × 7¹ × 29¹

Step-3: Factors of 77933

List of positive integer factors of 77933 that divides 77933 without a remainder.

Step-4: Factors of 77952

List of positive integer factors of 77952 that divides 77933 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 32, 42, 48, 56, 58, 64, 84, 87, 96, 112, 116, 128, 168, 174, 192, 203, 224, 232, 336, 348, 384, 406, 448, 464, 609, 672, 696, 812, 896, 928, 1218, 1344, 1392, 1624, 1856, 2436, 2688, 2784, 3248, 3712, 4872, 5568, 6496, 9744, 11136, 12992, 19488, 25984, 38976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77933 and 77952. The biggest common factor number is the GCF number.
So the greatest common factor 77933 and 77952 is 1.

Also check out the Least Common Multiple of 77933 and 77952