What is the Greatest Common Factor of 62832 and 62838?

Greatest common factor (GCF) of 62832 and 62838 is 6.

GCF(62832,62838) = 6

We will now calculate the prime factors of 62832 and 62838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62832 and 62838.

How to find the GCF of 62832 and 62838?

We will first find the prime factorization of 62832 and 62838. After we will calculate the factors of 62832 and 62838 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 62838

Prime factors of 62838 are 2, 3, 3491. Prime factorization of 62838 in exponential form is:

62838 = 2¹ × 3² × 3491¹

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 62838

List of positive integer factors of 62838 that divides 62832 without a remainder.

1, 2, 3, 6, 9, 18, 3491, 6982, 10473, 20946, 31419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62832 and 62838. The biggest common factor number is the GCF number.
So the greatest common factor 62832 and 62838 is 6.

Also check out the Least Common Multiple of 62832 and 62838