What is the Greatest Common Factor of 73602 and 73608?

Greatest common factor (GCF) of 73602 and 73608 is 6.

GCF(73602,73608) = 6

We will now calculate the prime factors of 73602 and 73608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73602 and 73608.

How to find the GCF of 73602 and 73608?

We will first find the prime factorization of 73602 and 73608. After we will calculate the factors of 73602 and 73608 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 73608

Prime factors of 73608 are 2, 3, 3067. Prime factorization of 73608 in exponential form is:

73608 = 2³ × 3¹ × 3067¹

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 73608

List of positive integer factors of 73608 that divides 73602 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3067, 6134, 9201, 12268, 18402, 24536, 36804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73602 and 73608. The biggest common factor number is the GCF number.
So the greatest common factor 73602 and 73608 is 6.

Also check out the Least Common Multiple of 73602 and 73608