What is the Greatest Common Factor of 53009 and 53024?

Greatest common factor (GCF) of 53009 and 53024 is 1.

GCF(53009,53024) = 1

We will now calculate the prime factors of 53009 and 53024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53009 and 53024.

How to find the GCF of 53009 and 53024?

We will first find the prime factorization of 53009 and 53024. After we will calculate the factors of 53009 and 53024 and find the biggest common factor number .

Step-1: Prime Factorization of 53009

Prime factors of 53009 are 11, 61, 79. Prime factorization of 53009 in exponential form is:

53009 = 11¹ × 61¹ × 79¹

Step-2: Prime Factorization of 53024

Prime factors of 53024 are 2, 1657. Prime factorization of 53024 in exponential form is:

53024 = 2⁵ × 1657¹

Step-3: Factors of 53009

List of positive integer factors of 53009 that divides 53009 without a remainder.

1, 11, 61, 79, 671, 869, 4819

Step-4: Factors of 53024

List of positive integer factors of 53024 that divides 53009 without a remainder.

1, 2, 4, 8, 16, 32, 1657, 3314, 6628, 13256, 26512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53009 and 53024. The biggest common factor number is the GCF number.
So the greatest common factor 53009 and 53024 is 1.

Also check out the Least Common Multiple of 53009 and 53024