What is the Greatest Common Factor of 78944 and 78960?

Greatest common factor (GCF) of 78944 and 78960 is 16.

GCF(78944,78960) = 16

We will now calculate the prime factors of 78944 and 78960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78944 and 78960.

How to find the GCF of 78944 and 78960?

We will first find the prime factorization of 78944 and 78960. After we will calculate the factors of 78944 and 78960 and find the biggest common factor number .

Step-1: Prime Factorization of 78944

Prime factors of 78944 are 2, 2467. Prime factorization of 78944 in exponential form is:

78944 = 2⁵ × 2467¹

Step-2: Prime Factorization of 78960

Prime factors of 78960 are 2, 3, 5, 7, 47. Prime factorization of 78960 in exponential form is:

78960 = 2⁴ × 3¹ × 5¹ × 7¹ × 47¹

Step-3: Factors of 78944

List of positive integer factors of 78944 that divides 78944 without a remainder.

1, 2, 4, 8, 16, 32, 2467, 4934, 9868, 19736, 39472

Step-4: Factors of 78960

List of positive integer factors of 78960 that divides 78944 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 47, 48, 56, 60, 70, 80, 84, 94, 105, 112, 120, 140, 141, 168, 188, 210, 235, 240, 280, 282, 329, 336, 376, 420, 470, 560, 564, 658, 705, 752, 840, 940, 987, 1128, 1316, 1410, 1645, 1680, 1880, 1974, 2256, 2632, 2820, 3290, 3760, 3948, 4935, 5264, 5640, 6580, 7896, 9870, 11280, 13160, 15792, 19740, 26320, 39480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78944 and 78960. The biggest common factor number is the GCF number.
So the greatest common factor 78944 and 78960 is 16.

Also check out the Least Common Multiple of 78944 and 78960