What is the Greatest Common Factor of 79860 and 79874?

Greatest common factor (GCF) of 79860 and 79874 is 2.

GCF(79860,79874) = 2

We will now calculate the prime factors of 79860 and 79874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79860 and 79874.

How to find the GCF of 79860 and 79874?

We will first find the prime factorization of 79860 and 79874. After we will calculate the factors of 79860 and 79874 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79874

Prime factors of 79874 are 2, 39937. Prime factorization of 79874 in exponential form is:

79874 = 2¹ × 39937¹

Step-3: Factors of 79860

List of positive integer factors of 79860 that divides 79860 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

Step-4: Factors of 79874

List of positive integer factors of 79874 that divides 79860 without a remainder.

1, 2, 39937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79860 and 79874. The biggest common factor number is the GCF number.
So the greatest common factor 79860 and 79874 is 2.

Also check out the Least Common Multiple of 79860 and 79874