What is the Greatest Common Factor of 60816 and 60823?

Greatest common factor (GCF) of 60816 and 60823 is 7.

GCF(60816,60823) = 7

We will now calculate the prime factors of 60816 and 60823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60816 and 60823.

How to find the GCF of 60816 and 60823?

We will first find the prime factorization of 60816 and 60823. After we will calculate the factors of 60816 and 60823 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 60823

Prime factors of 60823 are 7, 8689. Prime factorization of 60823 in exponential form is:

60823 = 7¹ × 8689¹

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 60823

List of positive integer factors of 60823 that divides 60816 without a remainder.

1, 7, 8689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60816 and 60823. The biggest common factor number is the GCF number.
So the greatest common factor 60816 and 60823 is 7.

Also check out the Least Common Multiple of 60816 and 60823