What is the Greatest Common Factor of 73542 and 73560?

Greatest common factor (GCF) of 73542 and 73560 is 6.

GCF(73542,73560) = 6

We will now calculate the prime factors of 73542 and 73560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73542 and 73560.

How to find the GCF of 73542 and 73560?

We will first find the prime factorization of 73542 and 73560. After we will calculate the factors of 73542 and 73560 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 73560

Prime factors of 73560 are 2, 3, 5, 613. Prime factorization of 73560 in exponential form is:

73560 = 2³ × 3¹ × 5¹ × 613¹

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 73560

List of positive integer factors of 73560 that divides 73542 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 613, 1226, 1839, 2452, 3065, 3678, 4904, 6130, 7356, 9195, 12260, 14712, 18390, 24520, 36780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73542 and 73560. The biggest common factor number is the GCF number.
So the greatest common factor 73542 and 73560 is 6.

Also check out the Least Common Multiple of 73542 and 73560