What is the Greatest Common Factor of 78960 and 78967?

Greatest common factor (GCF) of 78960 and 78967 is 7.

GCF(78960,78967) = 7

We will now calculate the prime factors of 78960 and 78967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78960 and 78967.

How to find the GCF of 78960 and 78967?

We will first find the prime factorization of 78960 and 78967. After we will calculate the factors of 78960 and 78967 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78967

Prime factors of 78967 are 7, 29, 389. Prime factorization of 78967 in exponential form is:

78967 = 7¹ × 29¹ × 389¹

Step-3: Factors of 78960

List of positive integer factors of 78960 that divides 78960 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

Step-4: Factors of 78967

List of positive integer factors of 78967 that divides 78960 without a remainder.

1, 7, 29, 203, 389, 2723, 11281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78960 and 78967. The biggest common factor number is the GCF number.
So the greatest common factor 78960 and 78967 is 7.

Also check out the Least Common Multiple of 78960 and 78967