What is the Greatest Common Factor of 62064 and 62080?

Greatest common factor (GCF) of 62064 and 62080 is 16.

GCF(62064,62080) = 16

We will now calculate the prime factors of 62064 and 62080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62064 and 62080.

How to find the GCF of 62064 and 62080?

We will first find the prime factorization of 62064 and 62080. After we will calculate the factors of 62064 and 62080 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 62080

Prime factors of 62080 are 2, 5, 97. Prime factorization of 62080 in exponential form is:

62080 = 2⁷ × 5¹ × 97¹

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 62080

List of positive integer factors of 62080 that divides 62064 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 97, 128, 160, 194, 320, 388, 485, 640, 776, 970, 1552, 1940, 3104, 3880, 6208, 7760, 12416, 15520, 31040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62064 and 62080. The biggest common factor number is the GCF number.
So the greatest common factor 62064 and 62080 is 16.

Also check out the Least Common Multiple of 62064 and 62080