What is the Greatest Common Factor of 62016 and 62035?

Greatest common factor (GCF) of 62016 and 62035 is 19.

GCF(62016,62035) = 19

We will now calculate the prime factors of 62016 and 62035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62016 and 62035.

How to find the GCF of 62016 and 62035?

We will first find the prime factorization of 62016 and 62035. After we will calculate the factors of 62016 and 62035 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 62035

Prime factors of 62035 are 5, 19, 653. Prime factorization of 62035 in exponential form is:

62035 = 5¹ × 19¹ × 653¹

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 62035

List of positive integer factors of 62035 that divides 62016 without a remainder.

1, 5, 19, 95, 653, 3265, 12407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62016 and 62035. The biggest common factor number is the GCF number.
So the greatest common factor 62016 and 62035 is 19.

Also check out the Least Common Multiple of 62016 and 62035