What is the Greatest Common Factor of 61999 and 62016?

Greatest common factor (GCF) of 61999 and 62016 is 17.

GCF(61999,62016) = 17

We will now calculate the prime factors of 61999 and 62016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61999 and 62016.

How to find the GCF of 61999 and 62016?

We will first find the prime factorization of 61999 and 62016. After we will calculate the factors of 61999 and 62016 and find the biggest common factor number .

Step-1: Prime Factorization of 61999

Prime factors of 61999 are 7, 17, 521. Prime factorization of 61999 in exponential form is:

61999 = 7¹ × 17¹ × 521¹

Step-2: Prime Factorization of 62016

Prime factors of 62016 are 2, 3, 17, 19. Prime factorization of 62016 in exponential form is:

62016 = 2⁶ × 3¹ × 17¹ × 19¹

Step-3: Factors of 61999

List of positive integer factors of 61999 that divides 61999 without a remainder.

1, 7, 17, 119, 521, 3647, 8857

Step-4: Factors of 62016

List of positive integer factors of 62016 that divides 61999 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 19, 24, 32, 34, 38, 48, 51, 57, 64, 68, 76, 96, 102, 114, 136, 152, 192, 204, 228, 272, 304, 323, 408, 456, 544, 608, 646, 816, 912, 969, 1088, 1216, 1292, 1632, 1824, 1938, 2584, 3264, 3648, 3876, 5168, 7752, 10336, 15504, 20672, 31008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61999 and 62016. The biggest common factor number is the GCF number.
So the greatest common factor 61999 and 62016 is 17.

Also check out the Least Common Multiple of 61999 and 62016