What is the Greatest Common Factor of 60802 and 60816?

Greatest common factor (GCF) of 60802 and 60816 is 14.

GCF(60802,60816) = 14

We will now calculate the prime factors of 60802 and 60816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60802 and 60816.

How to find the GCF of 60802 and 60816?

We will first find the prime factorization of 60802 and 60816. After we will calculate the factors of 60802 and 60816 and find the biggest common factor number .

Step-1: Prime Factorization of 60802

Prime factors of 60802 are 2, 7, 43, 101. Prime factorization of 60802 in exponential form is:

60802 = 2¹ × 7¹ × 43¹ × 101¹

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 60802

List of positive integer factors of 60802 that divides 60802 without a remainder.

1, 2, 7, 14, 43, 86, 101, 202, 301, 602, 707, 1414, 4343, 8686, 30401

Step-4: Factors of 60816

List of positive integer factors of 60816 that divides 60802 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 60802 and 60816. The biggest common factor number is the GCF number.
So the greatest common factor 60802 and 60816 is 14.

Also check out the Least Common Multiple of 60802 and 60816