What is the Greatest Common Factor of 71024 and 71029?

Greatest common factor (GCF) of 71024 and 71029 is 1.

GCF(71024,71029) = 1

We will now calculate the prime factors of 71024 and 71029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71024 and 71029.

How to find the GCF of 71024 and 71029?

We will first find the prime factorization of 71024 and 71029. After we will calculate the factors of 71024 and 71029 and find the biggest common factor number .

Step-1: Prime Factorization of 71024

Prime factors of 71024 are 2, 23, 193. Prime factorization of 71024 in exponential form is:

71024 = 2⁴ × 23¹ × 193¹

Step-2: Prime Factorization of 71029

Prime factors of 71029 are 7, 73, 139. Prime factorization of 71029 in exponential form is:

71029 = 7¹ × 73¹ × 139¹

Step-3: Factors of 71024

List of positive integer factors of 71024 that divides 71024 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 193, 368, 386, 772, 1544, 3088, 4439, 8878, 17756, 35512

Step-4: Factors of 71029

List of positive integer factors of 71029 that divides 71024 without a remainder.

1, 7, 73, 139, 511, 973, 10147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71024 and 71029. The biggest common factor number is the GCF number.
So the greatest common factor 71024 and 71029 is 1.

Also check out the Least Common Multiple of 71024 and 71029