What is the Greatest Common Factor of 62016 and 62028?

Greatest common factor (GCF) of 62016 and 62028 is 12.

GCF(62016,62028) = 12

We will now calculate the prime factors of 62016 and 62028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62016 and 62028.

How to find the GCF of 62016 and 62028?

We will first find the prime factorization of 62016 and 62028. After we will calculate the factors of 62016 and 62028 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62028

Prime factors of 62028 are 2, 3, 1723. Prime factorization of 62028 in exponential form is:

62028 = 2² × 3² × 1723¹

Step-3: Factors of 62016

List of positive integer factors of 62016 that divides 62016 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

Step-4: Factors of 62028

List of positive integer factors of 62028 that divides 62016 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1723, 3446, 5169, 6892, 10338, 15507, 20676, 31014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62016 and 62028. The biggest common factor number is the GCF number.
So the greatest common factor 62016 and 62028 is 12.

Also check out the Least Common Multiple of 62016 and 62028