What is the Greatest Common Factor of 73546 and 73557?

Greatest common factor (GCF) of 73546 and 73557 is 11.

GCF(73546,73557) = 11

We will now calculate the prime factors of 73546 and 73557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73546 and 73557.

How to find the GCF of 73546 and 73557?

We will first find the prime factorization of 73546 and 73557. After we will calculate the factors of 73546 and 73557 and find the biggest common factor number .

Step-1: Prime Factorization of 73546

Prime factors of 73546 are 2, 11, 3343. Prime factorization of 73546 in exponential form is:

73546 = 2¹ × 11¹ × 3343¹

Step-2: Prime Factorization of 73557

Prime factors of 73557 are 3, 11, 743. Prime factorization of 73557 in exponential form is:

73557 = 3² × 11¹ × 743¹

Step-3: Factors of 73546

List of positive integer factors of 73546 that divides 73546 without a remainder.

1, 2, 11, 22, 3343, 6686, 36773

Step-4: Factors of 73557

List of positive integer factors of 73557 that divides 73546 without a remainder.

1, 3, 9, 11, 33, 99, 743, 2229, 6687, 8173, 24519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73546 and 73557. The biggest common factor number is the GCF number.
So the greatest common factor 73546 and 73557 is 11.

Also check out the Least Common Multiple of 73546 and 73557