What is the Greatest Common Factor of 73602 and 73614?

Greatest common factor (GCF) of 73602 and 73614 is 6.

GCF(73602,73614) = 6

We will now calculate the prime factors of 73602 and 73614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73602 and 73614.

How to find the GCF of 73602 and 73614?

We will first find the prime factorization of 73602 and 73614. After we will calculate the factors of 73602 and 73614 and find the biggest common factor number .

Step-1: Prime Factorization of 73602

Prime factors of 73602 are 2, 3, 29, 47. Prime factorization of 73602 in exponential form is:

73602 = 2¹ × 3³ × 29¹ × 47¹

Step-2: Prime Factorization of 73614

Prime factors of 73614 are 2, 3, 12269. Prime factorization of 73614 in exponential form is:

73614 = 2¹ × 3¹ × 12269¹

Step-3: Factors of 73602

List of positive integer factors of 73602 that divides 73602 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 47, 54, 58, 87, 94, 141, 174, 261, 282, 423, 522, 783, 846, 1269, 1363, 1566, 2538, 2726, 4089, 8178, 12267, 24534, 36801

Step-4: Factors of 73614

List of positive integer factors of 73614 that divides 73602 without a remainder.

1, 2, 3, 6, 12269, 24538, 36807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73602 and 73614. The biggest common factor number is the GCF number.
So the greatest common factor 73602 and 73614 is 6.

Also check out the Least Common Multiple of 73602 and 73614