What is the Greatest Common Factor of 48629 and 48633?

Greatest common factor (GCF) of 48629 and 48633 is 1.

GCF(48629,48633) = 1

We will now calculate the prime factors of 48629 and 48633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48629 and 48633.

How to find the GCF of 48629 and 48633?

We will first find the prime factorization of 48629 and 48633. After we will calculate the factors of 48629 and 48633 and find the biggest common factor number .

Step-1: Prime Factorization of 48629

Prime factors of 48629 are 7, 6947. Prime factorization of 48629 in exponential form is:

48629 = 7¹ × 6947¹

Step-2: Prime Factorization of 48633

Prime factors of 48633 are 3, 13, 29, 43. Prime factorization of 48633 in exponential form is:

48633 = 3¹ × 13¹ × 29¹ × 43¹

Step-3: Factors of 48629

List of positive integer factors of 48629 that divides 48629 without a remainder.

1, 7, 6947

Step-4: Factors of 48633

List of positive integer factors of 48633 that divides 48629 without a remainder.

1, 3, 13, 29, 39, 43, 87, 129, 377, 559, 1131, 1247, 1677, 3741, 16211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48629 and 48633. The biggest common factor number is the GCF number.
So the greatest common factor 48629 and 48633 is 1.

Also check out the Least Common Multiple of 48629 and 48633