What is the Greatest Common Factor of 53048 and 53059?

Greatest common factor (GCF) of 53048 and 53059 is 1.

GCF(53048,53059) = 1

We will now calculate the prime factors of 53048 and 53059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53048 and 53059.

How to find the GCF of 53048 and 53059?

We will first find the prime factorization of 53048 and 53059. After we will calculate the factors of 53048 and 53059 and find the biggest common factor number .

Step-1: Prime Factorization of 53048

Prime factors of 53048 are 2, 19, 349. Prime factorization of 53048 in exponential form is:

53048 = 2³ × 19¹ × 349¹

Step-2: Prime Factorization of 53059

Prime factors of 53059 are 97, 547. Prime factorization of 53059 in exponential form is:

53059 = 97¹ × 547¹

Step-3: Factors of 53048

List of positive integer factors of 53048 that divides 53048 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 349, 698, 1396, 2792, 6631, 13262, 26524

Step-4: Factors of 53059

List of positive integer factors of 53059 that divides 53048 without a remainder.

1, 97, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53048 and 53059. The biggest common factor number is the GCF number.
So the greatest common factor 53048 and 53059 is 1.

Also check out the Least Common Multiple of 53048 and 53059