What is the Greatest Common Factor of 73782 and 73802?

Greatest common factor (GCF) of 73782 and 73802 is 2.

GCF(73782,73802) = 2

We will now calculate the prime factors of 73782 and 73802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73782 and 73802.

How to find the GCF of 73782 and 73802?

We will first find the prime factorization of 73782 and 73802. After we will calculate the factors of 73782 and 73802 and find the biggest common factor number .

Step-1: Prime Factorization of 73782

Prime factors of 73782 are 2, 3, 4099. Prime factorization of 73782 in exponential form is:

73782 = 2¹ × 3² × 4099¹

Step-2: Prime Factorization of 73802

Prime factors of 73802 are 2, 36901. Prime factorization of 73802 in exponential form is:

73802 = 2¹ × 36901¹

Step-3: Factors of 73782

List of positive integer factors of 73782 that divides 73782 without a remainder.

1, 2, 3, 6, 9, 18, 4099, 8198, 12297, 24594, 36891

Step-4: Factors of 73802

List of positive integer factors of 73802 that divides 73782 without a remainder.

1, 2, 36901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73782 and 73802. The biggest common factor number is the GCF number.
So the greatest common factor 73782 and 73802 is 2.

Also check out the Least Common Multiple of 73782 and 73802