What is the Greatest Common Factor of 67024 and 67036?

Greatest common factor (GCF) of 67024 and 67036 is 4.

GCF(67024,67036) = 4

We will now calculate the prime factors of 67024 and 67036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67024 and 67036.

How to find the GCF of 67024 and 67036?

We will first find the prime factorization of 67024 and 67036. After we will calculate the factors of 67024 and 67036 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 67036

Prime factors of 67036 are 2, 16759. Prime factorization of 67036 in exponential form is:

67036 = 2² × 16759¹

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 67036

List of positive integer factors of 67036 that divides 67024 without a remainder.

1, 2, 4, 16759, 33518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67024 and 67036. The biggest common factor number is the GCF number.
So the greatest common factor 67024 and 67036 is 4.

Also check out the Least Common Multiple of 67024 and 67036