What is the Greatest Common Factor of 62064 and 62070?

Greatest common factor (GCF) of 62064 and 62070 is 6.

GCF(62064,62070) = 6

We will now calculate the prime factors of 62064 and 62070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62064 and 62070.

How to find the GCF of 62064 and 62070?

We will first find the prime factorization of 62064 and 62070. After we will calculate the factors of 62064 and 62070 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 62070

Prime factors of 62070 are 2, 3, 5, 2069. Prime factorization of 62070 in exponential form is:

62070 = 2¹ × 3¹ × 5¹ × 2069¹

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 62070

List of positive integer factors of 62070 that divides 62064 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2069, 4138, 6207, 10345, 12414, 20690, 31035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62064 and 62070. The biggest common factor number is the GCF number.
So the greatest common factor 62064 and 62070 is 6.

Also check out the Least Common Multiple of 62064 and 62070