What is the Greatest Common Factor of 62480 and 62496?

Greatest common factor (GCF) of 62480 and 62496 is 16.

GCF(62480,62496) = 16

We will now calculate the prime factors of 62480 and 62496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62480 and 62496.

How to find the GCF of 62480 and 62496?

We will first find the prime factorization of 62480 and 62496. After we will calculate the factors of 62480 and 62496 and find the biggest common factor number .

Step-1: Prime Factorization of 62480

Prime factors of 62480 are 2, 5, 11, 71. Prime factorization of 62480 in exponential form is:

62480 = 2⁴ × 5¹ × 11¹ × 71¹

Step-2: Prime Factorization of 62496

Prime factors of 62496 are 2, 3, 7, 31. Prime factorization of 62496 in exponential form is:

62496 = 2⁵ × 3² × 7¹ × 31¹

Step-3: Factors of 62480

List of positive integer factors of 62480 that divides 62480 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 71, 80, 88, 110, 142, 176, 220, 284, 355, 440, 568, 710, 781, 880, 1136, 1420, 1562, 2840, 3124, 3905, 5680, 6248, 7810, 12496, 15620, 31240

Step-4: Factors of 62496

List of positive integer factors of 62496 that divides 62480 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 31, 32, 36, 42, 48, 56, 62, 63, 72, 84, 93, 96, 112, 124, 126, 144, 168, 186, 217, 224, 248, 252, 279, 288, 336, 372, 434, 496, 504, 558, 651, 672, 744, 868, 992, 1008, 1116, 1302, 1488, 1736, 1953, 2016, 2232, 2604, 2976, 3472, 3906, 4464, 5208, 6944, 7812, 8928, 10416, 15624, 20832, 31248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62480 and 62496. The biggest common factor number is the GCF number.
So the greatest common factor 62480 and 62496 is 16.

Also check out the Least Common Multiple of 62480 and 62496