What is the Greatest Common Factor of 48630 and 48639?

Greatest common factor (GCF) of 48630 and 48639 is 3.

GCF(48630,48639) = 3

We will now calculate the prime factors of 48630 and 48639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48630 and 48639.

How to find the GCF of 48630 and 48639?

We will first find the prime factorization of 48630 and 48639. After we will calculate the factors of 48630 and 48639 and find the biggest common factor number .

Step-1: Prime Factorization of 48630

Prime factors of 48630 are 2, 3, 5, 1621. Prime factorization of 48630 in exponential form is:

48630 = 2¹ × 3¹ × 5¹ × 1621¹

Step-2: Prime Factorization of 48639

Prime factors of 48639 are 3, 31, 523. Prime factorization of 48639 in exponential form is:

48639 = 3¹ × 31¹ × 523¹

Step-3: Factors of 48630

List of positive integer factors of 48630 that divides 48630 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1621, 3242, 4863, 8105, 9726, 16210, 24315

Step-4: Factors of 48639

List of positive integer factors of 48639 that divides 48630 without a remainder.

1, 3, 31, 93, 523, 1569, 16213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48630 and 48639. The biggest common factor number is the GCF number.
So the greatest common factor 48630 and 48639 is 3.

Also check out the Least Common Multiple of 48630 and 48639