What is the Greatest Common Factor of 62832 and 62848?

Greatest common factor (GCF) of 62832 and 62848 is 16.

GCF(62832,62848) = 16

We will now calculate the prime factors of 62832 and 62848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62832 and 62848.

How to find the GCF of 62832 and 62848?

We will first find the prime factorization of 62832 and 62848. After we will calculate the factors of 62832 and 62848 and find the biggest common factor number .

Step-1: Prime Factorization of 62832

Prime factors of 62832 are 2, 3, 7, 11, 17. Prime factorization of 62832 in exponential form is:

62832 = 2⁴ × 3¹ × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 62848

Prime factors of 62848 are 2, 491. Prime factorization of 62848 in exponential form is:

62848 = 2⁷ × 491¹

Step-3: Factors of 62832

List of positive integer factors of 62832 that divides 62832 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 17, 21, 22, 24, 28, 33, 34, 42, 44, 48, 51, 56, 66, 68, 77, 84, 88, 102, 112, 119, 132, 136, 154, 168, 176, 187, 204, 231, 238, 264, 272, 308, 336, 357, 374, 408, 462, 476, 528, 561, 616, 714, 748, 816, 924, 952, 1122, 1232, 1309, 1428, 1496, 1848, 1904, 2244, 2618, 2856, 2992, 3696, 3927, 4488, 5236, 5712, 7854, 8976, 10472, 15708, 20944, 31416

Step-4: Factors of 62848

List of positive integer factors of 62848 that divides 62832 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 491, 982, 1964, 3928, 7856, 15712, 31424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62832 and 62848. The biggest common factor number is the GCF number.
So the greatest common factor 62832 and 62848 is 16.

Also check out the Least Common Multiple of 62832 and 62848