What is the Greatest Common Factor of 74550 and 74565?

Greatest common factor (GCF) of 74550 and 74565 is 15.

GCF(74550,74565) = 15

We will now calculate the prime factors of 74550 and 74565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74550 and 74565.

How to find the GCF of 74550 and 74565?

We will first find the prime factorization of 74550 and 74565. After we will calculate the factors of 74550 and 74565 and find the biggest common factor number .

Step-1: Prime Factorization of 74550

Prime factors of 74550 are 2, 3, 5, 7, 71. Prime factorization of 74550 in exponential form is:

74550 = 2¹ × 3¹ × 5² × 7¹ × 71¹

Step-2: Prime Factorization of 74565

Prime factors of 74565 are 3, 5, 1657. Prime factorization of 74565 in exponential form is:

74565 = 3² × 5¹ × 1657¹

Step-3: Factors of 74550

List of positive integer factors of 74550 that divides 74550 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 71, 75, 105, 142, 150, 175, 210, 213, 350, 355, 426, 497, 525, 710, 994, 1050, 1065, 1491, 1775, 2130, 2485, 2982, 3550, 4970, 5325, 7455, 10650, 12425, 14910, 24850, 37275

Step-4: Factors of 74565

List of positive integer factors of 74565 that divides 74550 without a remainder.

1, 3, 5, 9, 15, 45, 1657, 4971, 8285, 14913, 24855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74550 and 74565. The biggest common factor number is the GCF number.
So the greatest common factor 74550 and 74565 is 15.

Also check out the Least Common Multiple of 74550 and 74565