What is the Greatest Common Factor of 67014 and 67024?

Greatest common factor (GCF) of 67014 and 67024 is 2.

GCF(67014,67024) = 2

We will now calculate the prime factors of 67014 and 67024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67014 and 67024.

How to find the GCF of 67014 and 67024?

We will first find the prime factorization of 67014 and 67024. After we will calculate the factors of 67014 and 67024 and find the biggest common factor number .

Step-1: Prime Factorization of 67014

Prime factors of 67014 are 2, 3, 17, 73. Prime factorization of 67014 in exponential form is:

67014 = 2¹ × 3³ × 17¹ × 73¹

Step-2: Prime Factorization of 67024

Prime factors of 67024 are 2, 59, 71. Prime factorization of 67024 in exponential form is:

67024 = 2⁴ × 59¹ × 71¹

Step-3: Factors of 67014

List of positive integer factors of 67014 that divides 67014 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 73, 102, 146, 153, 219, 306, 438, 459, 657, 918, 1241, 1314, 1971, 2482, 3723, 3942, 7446, 11169, 22338, 33507

Step-4: Factors of 67024

List of positive integer factors of 67024 that divides 67014 without a remainder.

1, 2, 4, 8, 16, 59, 71, 118, 142, 236, 284, 472, 568, 944, 1136, 4189, 8378, 16756, 33512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67014 and 67024. The biggest common factor number is the GCF number.
So the greatest common factor 67014 and 67024 is 2.

Also check out the Least Common Multiple of 67014 and 67024