What is the Greatest Common Factor of 67022 and 67032?

Greatest common factor (GCF) of 67022 and 67032 is 2.

GCF(67022,67032) = 2

We will now calculate the prime factors of 67022 and 67032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67022 and 67032.

How to find the GCF of 67022 and 67032?

We will first find the prime factorization of 67022 and 67032. After we will calculate the factors of 67022 and 67032 and find the biggest common factor number .

Step-1: Prime Factorization of 67022

Prime factors of 67022 are 2, 23, 31, 47. Prime factorization of 67022 in exponential form is:

67022 = 2¹ × 23¹ × 31¹ × 47¹

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 67022

List of positive integer factors of 67022 that divides 67022 without a remainder.

1, 2, 23, 31, 46, 47, 62, 94, 713, 1081, 1426, 1457, 2162, 2914, 33511

Step-4: Factors of 67032

List of positive integer factors of 67032 that divides 67022 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 67022 and 67032. The biggest common factor number is the GCF number.
So the greatest common factor 67022 and 67032 is 2.

Also check out the Least Common Multiple of 67022 and 67032