What is the Greatest Common Factor of 48475 and 48488?

Greatest common factor (GCF) of 48475 and 48488 is 1.

GCF(48475,48488) = 1

We will now calculate the prime factors of 48475 and 48488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48475 and 48488.

How to find the GCF of 48475 and 48488?

We will first find the prime factorization of 48475 and 48488. After we will calculate the factors of 48475 and 48488 and find the biggest common factor number .

Step-1: Prime Factorization of 48475

Prime factors of 48475 are 5, 7, 277. Prime factorization of 48475 in exponential form is:

48475 = 5² × 7¹ × 277¹

Step-2: Prime Factorization of 48488

Prime factors of 48488 are 2, 11, 19, 29. Prime factorization of 48488 in exponential form is:

48488 = 2³ × 11¹ × 19¹ × 29¹

Step-3: Factors of 48475

List of positive integer factors of 48475 that divides 48475 without a remainder.

1, 5, 7, 25, 35, 175, 277, 1385, 1939, 6925, 9695

Step-4: Factors of 48488

List of positive integer factors of 48488 that divides 48475 without a remainder.

1, 2, 4, 8, 11, 19, 22, 29, 38, 44, 58, 76, 88, 116, 152, 209, 232, 319, 418, 551, 638, 836, 1102, 1276, 1672, 2204, 2552, 4408, 6061, 12122, 24244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48475 and 48488. The biggest common factor number is the GCF number.
So the greatest common factor 48475 and 48488 is 1.

Also check out the Least Common Multiple of 48475 and 48488