What is the Greatest Common Factor of 73668 and 73682?

Greatest common factor (GCF) of 73668 and 73682 is 14.

GCF(73668,73682) = 14

We will now calculate the prime factors of 73668 and 73682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73668 and 73682.

How to find the GCF of 73668 and 73682?

We will first find the prime factorization of 73668 and 73682. After we will calculate the factors of 73668 and 73682 and find the biggest common factor number .

Step-1: Prime Factorization of 73668

Prime factors of 73668 are 2, 3, 7, 877. Prime factorization of 73668 in exponential form is:

73668 = 2² × 3¹ × 7¹ × 877¹

Step-2: Prime Factorization of 73682

Prime factors of 73682 are 2, 7, 19, 277. Prime factorization of 73682 in exponential form is:

73682 = 2¹ × 7¹ × 19¹ × 277¹

Step-3: Factors of 73668

List of positive integer factors of 73668 that divides 73668 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 877, 1754, 2631, 3508, 5262, 6139, 10524, 12278, 18417, 24556, 36834

Step-4: Factors of 73682

List of positive integer factors of 73682 that divides 73668 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 277, 554, 1939, 3878, 5263, 10526, 36841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73668 and 73682. The biggest common factor number is the GCF number.
So the greatest common factor 73668 and 73682 is 14.

Also check out the Least Common Multiple of 73668 and 73682