What is the Greatest Common Factor of 61997 and 62016?

Greatest common factor (GCF) of 61997 and 62016 is 19.

GCF(61997,62016) = 19

We will now calculate the prime factors of 61997 and 62016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61997 and 62016.

How to find the GCF of 61997 and 62016?

We will first find the prime factorization of 61997 and 62016. After we will calculate the factors of 61997 and 62016 and find the biggest common factor number .

Step-1: Prime Factorization of 61997

Prime factors of 61997 are 13, 19, 251. Prime factorization of 61997 in exponential form is:

61997 = 13¹ × 19¹ × 251¹

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 61997

List of positive integer factors of 61997 that divides 61997 without a remainder.

1, 13, 19, 247, 251, 3263, 4769

Step-4: Factors of 62016

List of positive integer factors of 62016 that divides 61997 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 61997 and 62016. The biggest common factor number is the GCF number.
So the greatest common factor 61997 and 62016 is 19.

Also check out the Least Common Multiple of 61997 and 62016