What is the Greatest Common Factor of 77952 and 77969?

Greatest common factor (GCF) of 77952 and 77969 is 1.

GCF(77952,77969) = 1

We will now calculate the prime factors of 77952 and 77969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77952 and 77969.

How to find the GCF of 77952 and 77969?

We will first find the prime factorization of 77952 and 77969. After we will calculate the factors of 77952 and 77969 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 77969

Prime factors of 77969 are 77969. Prime factorization of 77969 in exponential form is:

77969 = 77969¹

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 77969

List of positive integer factors of 77969 that divides 77952 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77952 and 77969. The biggest common factor number is the GCF number.
So the greatest common factor 77952 and 77969 is 1.

Also check out the Least Common Multiple of 77952 and 77969