What is the Greatest Common Factor of 73641 and 73645?

Greatest common factor (GCF) of 73641 and 73645 is 1.

GCF(73641,73645) = 1

We will now calculate the prime factors of 73641 and 73645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73641 and 73645.

How to find the GCF of 73641 and 73645?

We will first find the prime factorization of 73641 and 73645. After we will calculate the factors of 73641 and 73645 and find the biggest common factor number .

Step-1: Prime Factorization of 73641

Prime factors of 73641 are 3, 24547. Prime factorization of 73641 in exponential form is:

73641 = 3¹ × 24547¹

Step-2: Prime Factorization of 73645

Prime factors of 73645 are 5, 11, 13, 103. Prime factorization of 73645 in exponential form is:

73645 = 5¹ × 11¹ × 13¹ × 103¹

Step-3: Factors of 73641

List of positive integer factors of 73641 that divides 73641 without a remainder.

1, 3, 24547

Step-4: Factors of 73645

List of positive integer factors of 73645 that divides 73641 without a remainder.

1, 5, 11, 13, 55, 65, 103, 143, 515, 715, 1133, 1339, 5665, 6695, 14729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73641 and 73645. The biggest common factor number is the GCF number.
So the greatest common factor 73641 and 73645 is 1.

Also check out the Least Common Multiple of 73641 and 73645