What is the Greatest Common Factor of 73541 and 73554?

Greatest common factor (GCF) of 73541 and 73554 is 13.

GCF(73541,73554) = 13

We will now calculate the prime factors of 73541 and 73554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73541 and 73554.

How to find the GCF of 73541 and 73554?

We will first find the prime factorization of 73541 and 73554. After we will calculate the factors of 73541 and 73554 and find the biggest common factor number .

Step-1: Prime Factorization of 73541

Prime factors of 73541 are 13, 5657. Prime factorization of 73541 in exponential form is:

73541 = 13¹ × 5657¹

Step-2: Prime Factorization of 73554

Prime factors of 73554 are 2, 3, 13, 23, 41. Prime factorization of 73554 in exponential form is:

73554 = 2¹ × 3¹ × 13¹ × 23¹ × 41¹

Step-3: Factors of 73541

List of positive integer factors of 73541 that divides 73541 without a remainder.

1, 13, 5657

Step-4: Factors of 73554

List of positive integer factors of 73554 that divides 73541 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 41, 46, 69, 78, 82, 123, 138, 246, 299, 533, 598, 897, 943, 1066, 1599, 1794, 1886, 2829, 3198, 5658, 12259, 24518, 36777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73541 and 73554. The biggest common factor number is the GCF number.
So the greatest common factor 73541 and 73554 is 13.

Also check out the Least Common Multiple of 73541 and 73554