What is the Greatest Common Factor of 53567 and 53584?

Greatest common factor (GCF) of 53567 and 53584 is 17.

GCF(53567,53584) = 17

We will now calculate the prime factors of 53567 and 53584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53567 and 53584.

How to find the GCF of 53567 and 53584?

We will first find the prime factorization of 53567 and 53584. After we will calculate the factors of 53567 and 53584 and find the biggest common factor number .

Step-1: Prime Factorization of 53567

Prime factors of 53567 are 17, 23, 137. Prime factorization of 53567 in exponential form is:

53567 = 17¹ × 23¹ × 137¹

Step-2: Prime Factorization of 53584

Prime factors of 53584 are 2, 17, 197. Prime factorization of 53584 in exponential form is:

53584 = 2⁴ × 17¹ × 197¹

Step-3: Factors of 53567

List of positive integer factors of 53567 that divides 53567 without a remainder.

1, 17, 23, 137, 391, 2329, 3151

Step-4: Factors of 53584

List of positive integer factors of 53584 that divides 53567 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 197, 272, 394, 788, 1576, 3152, 3349, 6698, 13396, 26792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53567 and 53584. The biggest common factor number is the GCF number.
So the greatest common factor 53567 and 53584 is 17.

Also check out the Least Common Multiple of 53567 and 53584