What is the Greatest Common Factor of 62688 and 62704?

Greatest common factor (GCF) of 62688 and 62704 is 16.

GCF(62688,62704) = 16

We will now calculate the prime factors of 62688 and 62704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62688 and 62704.

How to find the GCF of 62688 and 62704?

We will first find the prime factorization of 62688 and 62704. After we will calculate the factors of 62688 and 62704 and find the biggest common factor number .

Step-1: Prime Factorization of 62688

Prime factors of 62688 are 2, 3, 653. Prime factorization of 62688 in exponential form is:

62688 = 2⁵ × 3¹ × 653¹

Step-2: Prime Factorization of 62704

Prime factors of 62704 are 2, 3919. Prime factorization of 62704 in exponential form is:

62704 = 2⁴ × 3919¹

Step-3: Factors of 62688

List of positive integer factors of 62688 that divides 62688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 653, 1306, 1959, 2612, 3918, 5224, 7836, 10448, 15672, 20896, 31344

Step-4: Factors of 62704

List of positive integer factors of 62704 that divides 62688 without a remainder.

1, 2, 4, 8, 16, 3919, 7838, 15676, 31352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62688 and 62704. The biggest common factor number is the GCF number.
So the greatest common factor 62688 and 62704 is 16.

Also check out the Least Common Multiple of 62688 and 62704