What is the Greatest Common Factor of 79856 and 79860?

Greatest common factor (GCF) of 79856 and 79860 is 4.

GCF(79856,79860) = 4

We will now calculate the prime factors of 79856 and 79860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79856 and 79860.

How to find the GCF of 79856 and 79860?

We will first find the prime factorization of 79856 and 79860. After we will calculate the factors of 79856 and 79860 and find the biggest common factor number .

Step-1: Prime Factorization of 79856

Prime factors of 79856 are 2, 7, 23, 31. Prime factorization of 79856 in exponential form is:

79856 = 2⁴ × 7¹ × 23¹ × 31¹

Step-2: Prime Factorization of 79860

Prime factors of 79860 are 2, 3, 5, 11. Prime factorization of 79860 in exponential form is:

79860 = 2² × 3¹ × 5¹ × 11³

Step-3: Factors of 79856

List of positive integer factors of 79856 that divides 79856 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 31, 46, 56, 62, 92, 112, 124, 161, 184, 217, 248, 322, 368, 434, 496, 644, 713, 868, 1288, 1426, 1736, 2576, 2852, 3472, 4991, 5704, 9982, 11408, 19964, 39928

Step-4: Factors of 79860

List of positive integer factors of 79860 that divides 79856 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1331, 1452, 1815, 2420, 2662, 3630, 3993, 5324, 6655, 7260, 7986, 13310, 15972, 19965, 26620, 39930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79856 and 79860. The biggest common factor number is the GCF number.
So the greatest common factor 79856 and 79860 is 4.

Also check out the Least Common Multiple of 79856 and 79860