What is the Greatest Common Factor of 62688 and 62705?

Greatest common factor (GCF) of 62688 and 62705 is 1.

GCF(62688,62705) = 1

We will now calculate the prime factors of 62688 and 62705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62688 and 62705.

How to find the GCF of 62688 and 62705?

We will first find the prime factorization of 62688 and 62705. After we will calculate the factors of 62688 and 62705 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 62705

Prime factors of 62705 are 5, 12541. Prime factorization of 62705 in exponential form is:

62705 = 5¹ × 12541¹

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 62705

List of positive integer factors of 62705 that divides 62688 without a remainder.

1, 5, 12541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62688 and 62705. The biggest common factor number is the GCF number.
So the greatest common factor 62688 and 62705 is 1.

Also check out the Least Common Multiple of 62688 and 62705