What is the Greatest Common Factor of 67013 and 67032?

Greatest common factor (GCF) of 67013 and 67032 is 19.

GCF(67013,67032) = 19

We will now calculate the prime factors of 67013 and 67032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67013 and 67032.

How to find the GCF of 67013 and 67032?

We will first find the prime factorization of 67013 and 67032. After we will calculate the factors of 67013 and 67032 and find the biggest common factor number .

Step-1: Prime Factorization of 67013

Prime factors of 67013 are 19, 3527. Prime factorization of 67013 in exponential form is:

67013 = 19¹ × 3527¹

Step-2: Prime Factorization of 67032

Prime factors of 67032 are 2, 3, 7, 19. Prime factorization of 67032 in exponential form is:

67032 = 2³ × 3² × 7² × 19¹

Step-3: Factors of 67013

List of positive integer factors of 67013 that divides 67013 without a remainder.

1, 19, 3527

Step-4: Factors of 67032

List of positive integer factors of 67032 that divides 67013 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 49, 56, 57, 63, 72, 76, 84, 98, 114, 126, 133, 147, 152, 168, 171, 196, 228, 252, 266, 294, 342, 392, 399, 441, 456, 504, 532, 588, 684, 798, 882, 931, 1064, 1176, 1197, 1368, 1596, 1764, 1862, 2394, 2793, 3192, 3528, 3724, 4788, 5586, 7448, 8379, 9576, 11172, 16758, 22344, 33516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67013 and 67032. The biggest common factor number is the GCF number.
So the greatest common factor 67013 and 67032 is 19.

Also check out the Least Common Multiple of 67013 and 67032