What is the Greatest Common Factor of 60816 and 60826?

Greatest common factor (GCF) of 60816 and 60826 is 2.

GCF(60816,60826) = 2

We will now calculate the prime factors of 60816 and 60826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60816 and 60826.

How to find the GCF of 60816 and 60826?

We will first find the prime factorization of 60816 and 60826. After we will calculate the factors of 60816 and 60826 and find the biggest common factor number .

Step-1: Prime Factorization of 60816

Prime factors of 60816 are 2, 3, 7, 181. Prime factorization of 60816 in exponential form is:

60816 = 2⁴ × 3¹ × 7¹ × 181¹

Step-2: Prime Factorization of 60826

Prime factors of 60826 are 2, 17, 1789. Prime factorization of 60826 in exponential form is:

60826 = 2¹ × 17¹ × 1789¹

Step-3: Factors of 60816

List of positive integer factors of 60816 that divides 60816 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 181, 336, 362, 543, 724, 1086, 1267, 1448, 2172, 2534, 2896, 3801, 4344, 5068, 7602, 8688, 10136, 15204, 20272, 30408

Step-4: Factors of 60826

List of positive integer factors of 60826 that divides 60816 without a remainder.

1, 2, 17, 34, 1789, 3578, 30413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60816 and 60826. The biggest common factor number is the GCF number.
So the greatest common factor 60816 and 60826 is 2.

Also check out the Least Common Multiple of 60816 and 60826