What is the Greatest Common Factor of 62496 and 62514?

Greatest common factor (GCF) of 62496 and 62514 is 18.

GCF(62496,62514) = 18

We will now calculate the prime factors of 62496 and 62514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62496 and 62514.

How to find the GCF of 62496 and 62514?

We will first find the prime factorization of 62496 and 62514. After we will calculate the factors of 62496 and 62514 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 62514

Prime factors of 62514 are 2, 3, 23, 151. Prime factorization of 62514 in exponential form is:

62514 = 2¹ × 3² × 23¹ × 151¹

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 62514

List of positive integer factors of 62514 that divides 62496 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 151, 207, 302, 414, 453, 906, 1359, 2718, 3473, 6946, 10419, 20838, 31257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62496 and 62514. The biggest common factor number is the GCF number.
So the greatest common factor 62496 and 62514 is 18.

Also check out the Least Common Multiple of 62496 and 62514