What is the Greatest Common Factor of 73616 and 73621?

Greatest common factor (GCF) of 73616 and 73621 is 1.

GCF(73616,73621) = 1

We will now calculate the prime factors of 73616 and 73621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73616 and 73621.

How to find the GCF of 73616 and 73621?

We will first find the prime factorization of 73616 and 73621. After we will calculate the factors of 73616 and 73621 and find the biggest common factor number .

Step-1: Prime Factorization of 73616

Prime factors of 73616 are 2, 43, 107. Prime factorization of 73616 in exponential form is:

73616 = 2⁴ × 43¹ × 107¹

Step-2: Prime Factorization of 73621

Prime factors of 73621 are 83, 887. Prime factorization of 73621 in exponential form is:

73621 = 83¹ × 887¹

Step-3: Factors of 73616

List of positive integer factors of 73616 that divides 73616 without a remainder.

1, 2, 4, 8, 16, 43, 86, 107, 172, 214, 344, 428, 688, 856, 1712, 4601, 9202, 18404, 36808

Step-4: Factors of 73621

List of positive integer factors of 73621 that divides 73616 without a remainder.

1, 83, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73616 and 73621. The biggest common factor number is the GCF number.
So the greatest common factor 73616 and 73621 is 1.

Also check out the Least Common Multiple of 73616 and 73621