What is the Greatest Common Factor of 60809 and 60816?

Greatest common factor (GCF) of 60809 and 60816 is 7.

GCF(60809,60816) = 7

We will now calculate the prime factors of 60809 and 60816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60809 and 60816.

How to find the GCF of 60809 and 60816?

We will first find the prime factorization of 60809 and 60816. After we will calculate the factors of 60809 and 60816 and find the biggest common factor number .

Step-1: Prime Factorization of 60809

Prime factors of 60809 are 7, 17, 73. Prime factorization of 60809 in exponential form is:

60809 = 7² × 17¹ × 73¹

Step-2: 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-3: Factors of 60809

List of positive integer factors of 60809 that divides 60809 without a remainder.

1, 7, 17, 49, 73, 119, 511, 833, 1241, 3577, 8687

Step-4: Factors of 60816

List of positive integer factors of 60816 that divides 60809 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60809 and 60816. The biggest common factor number is the GCF number.
So the greatest common factor 60809 and 60816 is 7.

Also check out the Least Common Multiple of 60809 and 60816