What is the Greatest Common Factor of 53024 and 53036?

Greatest common factor (GCF) of 53024 and 53036 is 4.

GCF(53024,53036) = 4

We will now calculate the prime factors of 53024 and 53036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53024 and 53036.

How to find the GCF of 53024 and 53036?

We will first find the prime factorization of 53024 and 53036. After we will calculate the factors of 53024 and 53036 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 53036

Prime factors of 53036 are 2, 13259. Prime factorization of 53036 in exponential form is:

53036 = 2² × 13259¹

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 53036

List of positive integer factors of 53036 that divides 53024 without a remainder.

1, 2, 4, 13259, 26518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53024 and 53036. The biggest common factor number is the GCF number.
So the greatest common factor 53024 and 53036 is 4.

Also check out the Least Common Multiple of 53024 and 53036