What is the Greatest Common Factor of 77952 and 77958?

Greatest common factor (GCF) of 77952 and 77958 is 6.

GCF(77952,77958) = 6

We will now calculate the prime factors of 77952 and 77958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77952 and 77958.

How to find the GCF of 77952 and 77958?

We will first find the prime factorization of 77952 and 77958. After we will calculate the factors of 77952 and 77958 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77958

Prime factors of 77958 are 2, 3, 61, 71. Prime factorization of 77958 in exponential form is:

77958 = 2¹ × 3² × 61¹ × 71¹

Step-3: Factors of 77952

List of positive integer factors of 77952 that divides 77952 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

Step-4: Factors of 77958

List of positive integer factors of 77958 that divides 77952 without a remainder.

1, 2, 3, 6, 9, 18, 61, 71, 122, 142, 183, 213, 366, 426, 549, 639, 1098, 1278, 4331, 8662, 12993, 25986, 38979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77952 and 77958. The biggest common factor number is the GCF number.
So the greatest common factor 77952 and 77958 is 6.

Also check out the Least Common Multiple of 77952 and 77958