What is the Greatest Common Factor of 77952 and 77972?

Greatest common factor (GCF) of 77952 and 77972 is 4.

GCF(77952,77972) = 4

We will now calculate the prime factors of 77952 and 77972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77952 and 77972.

How to find the GCF of 77952 and 77972?

We will first find the prime factorization of 77952 and 77972. After we will calculate the factors of 77952 and 77972 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 77972

Prime factors of 77972 are 2, 101, 193. Prime factorization of 77972 in exponential form is:

77972 = 2² × 101¹ × 193¹

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 77972

List of positive integer factors of 77972 that divides 77952 without a remainder.

1, 2, 4, 101, 193, 202, 386, 404, 772, 19493, 38986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77952 and 77972. The biggest common factor number is the GCF number.
So the greatest common factor 77952 and 77972 is 4.

Also check out the Least Common Multiple of 77952 and 77972