What is the Greatest Common Factor of 67024 and 67033?

Greatest common factor (GCF) of 67024 and 67033 is 1.

GCF(67024,67033) = 1

We will now calculate the prime factors of 67024 and 67033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67024 and 67033.

How to find the GCF of 67024 and 67033?

We will first find the prime factorization of 67024 and 67033. After we will calculate the factors of 67024 and 67033 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67033

Prime factors of 67033 are 67033. Prime factorization of 67033 in exponential form is:

67033 = 67033¹

Step-3: Factors of 67024

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

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

Step-4: Factors of 67033

List of positive integer factors of 67033 that divides 67024 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67024 and 67033. The biggest common factor number is the GCF number.
So the greatest common factor 67024 and 67033 is 1.

Also check out the Least Common Multiple of 67024 and 67033