What is the Greatest Common Factor of 93629 and 93648?

Greatest common factor (GCF) of 93629 and 93648 is 1.

GCF(93629,93648) = 1

We will now calculate the prime factors of 93629 and 93648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93629 and 93648.

How to find the GCF of 93629 and 93648?

We will first find the prime factorization of 93629 and 93648. After we will calculate the factors of 93629 and 93648 and find the biggest common factor number .

Step-1: Prime Factorization of 93629

Prime factors of 93629 are 93629. Prime factorization of 93629 in exponential form is:

93629 = 93629¹

Step-2: Prime Factorization of 93648

Prime factors of 93648 are 2, 3, 1951. Prime factorization of 93648 in exponential form is:

93648 = 2⁴ × 3¹ × 1951¹

Step-3: Factors of 93629

List of positive integer factors of 93629 that divides 93629 without a remainder.

Step-4: Factors of 93648

List of positive integer factors of 93648 that divides 93629 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1951, 3902, 5853, 7804, 11706, 15608, 23412, 31216, 46824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93629 and 93648. The biggest common factor number is the GCF number.
So the greatest common factor 93629 and 93648 is 1.

Also check out the Least Common Multiple of 93629 and 93648