What is the Greatest Common Factor of 74550 and 74570?

Greatest common factor (GCF) of 74550 and 74570 is 10.

GCF(74550,74570) = 10

We will now calculate the prime factors of 74550 and 74570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74550 and 74570.

How to find the GCF of 74550 and 74570?

We will first find the prime factorization of 74550 and 74570. After we will calculate the factors of 74550 and 74570 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 74570

Prime factors of 74570 are 2, 5, 7457. Prime factorization of 74570 in exponential form is:

74570 = 2¹ × 5¹ × 7457¹

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 74570

List of positive integer factors of 74570 that divides 74550 without a remainder.

1, 2, 5, 10, 7457, 14914, 37285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74550 and 74570. The biggest common factor number is the GCF number.
So the greatest common factor 74550 and 74570 is 10.

Also check out the Least Common Multiple of 74550 and 74570