What is the Greatest Common Factor of 62832 and 62849?

Greatest common factor (GCF) of 62832 and 62849 is 17.

GCF(62832,62849) = 17

We will now calculate the prime factors of 62832 and 62849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62832 and 62849.

How to find the GCF of 62832 and 62849?

We will first find the prime factorization of 62832 and 62849. After we will calculate the factors of 62832 and 62849 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 62849

Prime factors of 62849 are 17, 3697. Prime factorization of 62849 in exponential form is:

62849 = 17¹ × 3697¹

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 62849

List of positive integer factors of 62849 that divides 62832 without a remainder.

1, 17, 3697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62832 and 62849. The biggest common factor number is the GCF number.
So the greatest common factor 62832 and 62849 is 17.

Also check out the Least Common Multiple of 62832 and 62849