What is the Greatest Common Factor of 62832 and 62839?

Greatest common factor (GCF) of 62832 and 62839 is 7.

GCF(62832,62839) = 7

We will now calculate the prime factors of 62832 and 62839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62832 and 62839.

How to find the GCF of 62832 and 62839?

We will first find the prime factorization of 62832 and 62839. After we will calculate the factors of 62832 and 62839 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 62839

Prime factors of 62839 are 7, 47, 191. Prime factorization of 62839 in exponential form is:

62839 = 7¹ × 47¹ × 191¹

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 62839

List of positive integer factors of 62839 that divides 62832 without a remainder.

1, 7, 47, 191, 329, 1337, 8977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62832 and 62839. The biggest common factor number is the GCF number.
So the greatest common factor 62832 and 62839 is 7.

Also check out the Least Common Multiple of 62832 and 62839