What is the Greatest Common Factor of 73525 and 73542?

Greatest common factor (GCF) of 73525 and 73542 is 17.

GCF(73525,73542) = 17

We will now calculate the prime factors of 73525 and 73542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73525 and 73542.

How to find the GCF of 73525 and 73542?

We will first find the prime factorization of 73525 and 73542. After we will calculate the factors of 73525 and 73542 and find the biggest common factor number .

Step-1: Prime Factorization of 73525

Prime factors of 73525 are 5, 17, 173. Prime factorization of 73525 in exponential form is:

73525 = 5² × 17¹ × 173¹

Step-2: 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-3: Factors of 73525

List of positive integer factors of 73525 that divides 73525 without a remainder.

1, 5, 17, 25, 85, 173, 425, 865, 2941, 4325, 14705

Step-4: Factors of 73542

List of positive integer factors of 73542 that divides 73525 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73525 and 73542. The biggest common factor number is the GCF number.
So the greatest common factor 73525 and 73542 is 17.

Also check out the Least Common Multiple of 73525 and 73542