What is the Greatest Common Factor of 73630 and 73638?

Greatest common factor (GCF) of 73630 and 73638 is 2.

GCF(73630,73638) = 2

We will now calculate the prime factors of 73630 and 73638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73630 and 73638.

How to find the GCF of 73630 and 73638?

We will first find the prime factorization of 73630 and 73638. After we will calculate the factors of 73630 and 73638 and find the biggest common factor number .

Step-1: Prime Factorization of 73630

Prime factors of 73630 are 2, 5, 37, 199. Prime factorization of 73630 in exponential form is:

73630 = 2¹ × 5¹ × 37¹ × 199¹

Step-2: Prime Factorization of 73638

Prime factors of 73638 are 2, 3, 4091. Prime factorization of 73638 in exponential form is:

73638 = 2¹ × 3² × 4091¹

Step-3: Factors of 73630

List of positive integer factors of 73630 that divides 73630 without a remainder.

1, 2, 5, 10, 37, 74, 185, 199, 370, 398, 995, 1990, 7363, 14726, 36815

Step-4: Factors of 73638

List of positive integer factors of 73638 that divides 73630 without a remainder.

1, 2, 3, 6, 9, 18, 4091, 8182, 12273, 24546, 36819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73630 and 73638. The biggest common factor number is the GCF number.
So the greatest common factor 73630 and 73638 is 2.

Also check out the Least Common Multiple of 73630 and 73638