What is the Greatest Common Factor of 62016 and 62036?

Greatest common factor (GCF) of 62016 and 62036 is 4.

GCF(62016,62036) = 4

We will now calculate the prime factors of 62016 and 62036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62016 and 62036.

How to find the GCF of 62016 and 62036?

We will first find the prime factorization of 62016 and 62036. After we will calculate the factors of 62016 and 62036 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 62036

Prime factors of 62036 are 2, 13, 1193. Prime factorization of 62036 in exponential form is:

62036 = 2² × 13¹ × 1193¹

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 62036

List of positive integer factors of 62036 that divides 62016 without a remainder.

1, 2, 4, 13, 26, 52, 1193, 2386, 4772, 15509, 31018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62016 and 62036. The biggest common factor number is the GCF number.
So the greatest common factor 62016 and 62036 is 4.

Also check out the Least Common Multiple of 62016 and 62036