What is the Greatest Common Factor of 62496 and 62510?

Greatest common factor (GCF) of 62496 and 62510 is 14.

GCF(62496,62510) = 14

We will now calculate the prime factors of 62496 and 62510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62496 and 62510.

How to find the GCF of 62496 and 62510?

We will first find the prime factorization of 62496 and 62510. After we will calculate the factors of 62496 and 62510 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62510

Prime factors of 62510 are 2, 5, 7, 19, 47. Prime factorization of 62510 in exponential form is:

62510 = 2¹ × 5¹ × 7¹ × 19¹ × 47¹

Step-3: Factors of 62496

List of positive integer factors of 62496 that divides 62496 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

Step-4: Factors of 62510

List of positive integer factors of 62510 that divides 62496 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 47, 70, 94, 95, 133, 190, 235, 266, 329, 470, 658, 665, 893, 1330, 1645, 1786, 3290, 4465, 6251, 8930, 12502, 31255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62496 and 62510. The biggest common factor number is the GCF number.
So the greatest common factor 62496 and 62510 is 14.

Also check out the Least Common Multiple of 62496 and 62510