What is the Greatest Common Factor of 62544 and 62560?

Greatest common factor (GCF) of 62544 and 62560 is 16.

GCF(62544,62560) = 16

We will now calculate the prime factors of 62544 and 62560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62544 and 62560.

How to find the GCF of 62544 and 62560?

We will first find the prime factorization of 62544 and 62560. After we will calculate the factors of 62544 and 62560 and find the biggest common factor number .

Step-1: Prime Factorization of 62544

Prime factors of 62544 are 2, 3, 1303. Prime factorization of 62544 in exponential form is:

62544 = 2⁴ × 3¹ × 1303¹

Step-2: Prime Factorization of 62560

Prime factors of 62560 are 2, 5, 17, 23. Prime factorization of 62560 in exponential form is:

62560 = 2⁵ × 5¹ × 17¹ × 23¹

Step-3: Factors of 62544

List of positive integer factors of 62544 that divides 62544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1303, 2606, 3909, 5212, 7818, 10424, 15636, 20848, 31272

Step-4: Factors of 62560

List of positive integer factors of 62560 that divides 62544 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 23, 32, 34, 40, 46, 68, 80, 85, 92, 115, 136, 160, 170, 184, 230, 272, 340, 368, 391, 460, 544, 680, 736, 782, 920, 1360, 1564, 1840, 1955, 2720, 3128, 3680, 3910, 6256, 7820, 12512, 15640, 31280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62544 and 62560. The biggest common factor number is the GCF number.
So the greatest common factor 62544 and 62560 is 16.

Also check out the Least Common Multiple of 62544 and 62560