What is the Greatest Common Factor of 62821 and 62832?

Greatest common factor (GCF) of 62821 and 62832 is 11.

GCF(62821,62832) = 11

We will now calculate the prime factors of 62821 and 62832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62821 and 62832.

How to find the GCF of 62821 and 62832?

We will first find the prime factorization of 62821 and 62832. After we will calculate the factors of 62821 and 62832 and find the biggest common factor number .

Step-1: Prime Factorization of 62821

Prime factors of 62821 are 11, 5711. Prime factorization of 62821 in exponential form is:

62821 = 11¹ × 5711¹

Step-2: 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-3: Factors of 62821

List of positive integer factors of 62821 that divides 62821 without a remainder.

1, 11, 5711

Step-4: Factors of 62832

List of positive integer factors of 62832 that divides 62821 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62821 and 62832. The biggest common factor number is the GCF number.
So the greatest common factor 62821 and 62832 is 11.

Also check out the Least Common Multiple of 62821 and 62832