What is the Greatest Common Factor of 73542 and 73555?

Greatest common factor (GCF) of 73542 and 73555 is 1.

GCF(73542,73555) = 1

We will now calculate the prime factors of 73542 and 73555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73542 and 73555.

How to find the GCF of 73542 and 73555?

We will first find the prime factorization of 73542 and 73555. After we will calculate the factors of 73542 and 73555 and find the biggest common factor number .

Step-1: Prime Factorization of 73542

Prime factors of 73542 are 2, 3, 7, 17, 103. Prime factorization of 73542 in exponential form is:

73542 = 2¹ × 3¹ × 7¹ × 17¹ × 103¹

Step-2: Prime Factorization of 73555

Prime factors of 73555 are 5, 47, 313. Prime factorization of 73555 in exponential form is:

73555 = 5¹ × 47¹ × 313¹

Step-3: Factors of 73542

List of positive integer factors of 73542 that divides 73542 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 103, 119, 206, 238, 309, 357, 618, 714, 721, 1442, 1751, 2163, 3502, 4326, 5253, 10506, 12257, 24514, 36771

Step-4: Factors of 73555

List of positive integer factors of 73555 that divides 73542 without a remainder.

1, 5, 47, 235, 313, 1565, 14711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73542 and 73555. The biggest common factor number is the GCF number.
So the greatest common factor 73542 and 73555 is 1.

Also check out the Least Common Multiple of 73542 and 73555