What is the Greatest Common Factor of 73645 and 73661?

Greatest common factor (GCF) of 73645 and 73661 is 1.

GCF(73645,73661) = 1

We will now calculate the prime factors of 73645 and 73661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73645 and 73661.

How to find the GCF of 73645 and 73661?

We will first find the prime factorization of 73645 and 73661. After we will calculate the factors of 73645 and 73661 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73661

Prime factors of 73661 are 7, 17, 619. Prime factorization of 73661 in exponential form is:

73661 = 7¹ × 17¹ × 619¹

Step-3: Factors of 73645

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

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

Step-4: Factors of 73661

List of positive integer factors of 73661 that divides 73645 without a remainder.

1, 7, 17, 119, 619, 4333, 10523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73645 and 73661. The biggest common factor number is the GCF number.
So the greatest common factor 73645 and 73661 is 1.

Also check out the Least Common Multiple of 73645 and 73661