What is the Greatest Common Factor of 67018 and 67032?

Greatest common factor (GCF) of 67018 and 67032 is 14.

GCF(67018,67032) = 14

We will now calculate the prime factors of 67018 and 67032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67018 and 67032.

How to find the GCF of 67018 and 67032?

We will first find the prime factorization of 67018 and 67032. After we will calculate the factors of 67018 and 67032 and find the biggest common factor number .

Step-1: Prime Factorization of 67018

Prime factors of 67018 are 2, 7, 4787. Prime factorization of 67018 in exponential form is:

67018 = 2¹ × 7¹ × 4787¹

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 67018

List of positive integer factors of 67018 that divides 67018 without a remainder.

1, 2, 7, 14, 4787, 9574, 33509

Step-4: Factors of 67032

List of positive integer factors of 67032 that divides 67018 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 67018 and 67032. The biggest common factor number is the GCF number.
So the greatest common factor 67018 and 67032 is 14.

Also check out the Least Common Multiple of 67018 and 67032