What is the Greatest Common Factor of 62000 and 62016?

Greatest common factor (GCF) of 62000 and 62016 is 16.

GCF(62000,62016) = 16

We will now calculate the prime factors of 62000 and 62016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62000 and 62016.

How to find the GCF of 62000 and 62016?

We will first find the prime factorization of 62000 and 62016. After we will calculate the factors of 62000 and 62016 and find the biggest common factor number .

Step-1: Prime Factorization of 62000

Prime factors of 62000 are 2, 5, 31. Prime factorization of 62000 in exponential form is:

62000 = 2⁴ × 5³ × 31¹

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 62000

List of positive integer factors of 62000 that divides 62000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 40, 50, 62, 80, 100, 124, 125, 155, 200, 248, 250, 310, 400, 496, 500, 620, 775, 1000, 1240, 1550, 2000, 2480, 3100, 3875, 6200, 7750, 12400, 15500, 31000

Step-4: Factors of 62016

List of positive integer factors of 62016 that divides 62000 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 62000 and 62016. The biggest common factor number is the GCF number.
So the greatest common factor 62000 and 62016 is 16.

Also check out the Least Common Multiple of 62000 and 62016