What is the Greatest Common Factor of 62064 and 62082?

Greatest common factor (GCF) of 62064 and 62082 is 18.

GCF(62064,62082) = 18

We will now calculate the prime factors of 62064 and 62082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62064 and 62082.

How to find the GCF of 62064 and 62082?

We will first find the prime factorization of 62064 and 62082. After we will calculate the factors of 62064 and 62082 and find the biggest common factor number .

Step-1: Prime Factorization of 62064

Prime factors of 62064 are 2, 3, 431. Prime factorization of 62064 in exponential form is:

62064 = 2⁴ × 3² × 431¹

Step-2: Prime Factorization of 62082

Prime factors of 62082 are 2, 3, 3449. Prime factorization of 62082 in exponential form is:

62082 = 2¹ × 3² × 3449¹

Step-3: Factors of 62064

List of positive integer factors of 62064 that divides 62064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 431, 862, 1293, 1724, 2586, 3448, 3879, 5172, 6896, 7758, 10344, 15516, 20688, 31032

Step-4: Factors of 62082

List of positive integer factors of 62082 that divides 62064 without a remainder.

1, 2, 3, 6, 9, 18, 3449, 6898, 10347, 20694, 31041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62064 and 62082. The biggest common factor number is the GCF number.
So the greatest common factor 62064 and 62082 is 18.

Also check out the Least Common Multiple of 62064 and 62082