What is the Greatest Common Factor of 48477 and 48488?

Greatest common factor (GCF) of 48477 and 48488 is 11.

GCF(48477,48488) = 11

We will now calculate the prime factors of 48477 and 48488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48477 and 48488.

How to find the GCF of 48477 and 48488?

We will first find the prime factorization of 48477 and 48488. After we will calculate the factors of 48477 and 48488 and find the biggest common factor number .

Step-1: Prime Factorization of 48477

Prime factors of 48477 are 3, 11, 13, 113. Prime factorization of 48477 in exponential form is:

48477 = 3¹ × 11¹ × 13¹ × 113¹

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 48477

List of positive integer factors of 48477 that divides 48477 without a remainder.

1, 3, 11, 13, 33, 39, 113, 143, 339, 429, 1243, 1469, 3729, 4407, 16159

Step-4: Factors of 48488

List of positive integer factors of 48488 that divides 48477 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 48477 and 48488. The biggest common factor number is the GCF number.
So the greatest common factor 48477 and 48488 is 11.

Also check out the Least Common Multiple of 48477 and 48488