What is the Greatest Common Factor of 73642 and 73648?

Greatest common factor (GCF) of 73642 and 73648 is 2.

GCF(73642,73648) = 2

We will now calculate the prime factors of 73642 and 73648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73642 and 73648.

How to find the GCF of 73642 and 73648?

We will first find the prime factorization of 73642 and 73648. After we will calculate the factors of 73642 and 73648 and find the biggest common factor number .

Step-1: Prime Factorization of 73642

Prime factors of 73642 are 2, 36821. Prime factorization of 73642 in exponential form is:

73642 = 2¹ × 36821¹

Step-2: Prime Factorization of 73648

Prime factors of 73648 are 2, 4603. Prime factorization of 73648 in exponential form is:

73648 = 2⁴ × 4603¹

Step-3: Factors of 73642

List of positive integer factors of 73642 that divides 73642 without a remainder.

1, 2, 36821

Step-4: Factors of 73648

List of positive integer factors of 73648 that divides 73642 without a remainder.

1, 2, 4, 8, 16, 4603, 9206, 18412, 36824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73642 and 73648. The biggest common factor number is the GCF number.
So the greatest common factor 73642 and 73648 is 2.

Also check out the Least Common Multiple of 73642 and 73648