What is the Greatest Common Factor of 53024 and 53032?

Greatest common factor (GCF) of 53024 and 53032 is 8.

GCF(53024,53032) = 8

We will now calculate the prime factors of 53024 and 53032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53024 and 53032.

How to find the GCF of 53024 and 53032?

We will first find the prime factorization of 53024 and 53032. After we will calculate the factors of 53024 and 53032 and find the biggest common factor number .

Step-1: Prime Factorization of 53024

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

53024 = 2⁵ × 1657¹

Step-2: Prime Factorization of 53032

Prime factors of 53032 are 2, 7, 947. Prime factorization of 53032 in exponential form is:

53032 = 2³ × 7¹ × 947¹

Step-3: Factors of 53024

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

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

Step-4: Factors of 53032

List of positive integer factors of 53032 that divides 53024 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 947, 1894, 3788, 6629, 7576, 13258, 26516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53024 and 53032. The biggest common factor number is the GCF number.
So the greatest common factor 53024 and 53032 is 8.

Also check out the Least Common Multiple of 53024 and 53032