What is the Greatest Common Factor of 90450 and 90470?

Greatest common factor (GCF) of 90450 and 90470 is 10.

GCF(90450,90470) = 10

We will now calculate the prime factors of 90450 and 90470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90450 and 90470.

How to find the GCF of 90450 and 90470?

We will first find the prime factorization of 90450 and 90470. After we will calculate the factors of 90450 and 90470 and find the biggest common factor number .

Step-1: Prime Factorization of 90450

Prime factors of 90450 are 2, 3, 5, 67. Prime factorization of 90450 in exponential form is:

90450 = 2¹ × 3³ × 5² × 67¹

Step-2: Prime Factorization of 90470

Prime factors of 90470 are 2, 5, 83, 109. Prime factorization of 90470 in exponential form is:

90470 = 2¹ × 5¹ × 83¹ × 109¹

Step-3: Factors of 90450

List of positive integer factors of 90450 that divides 90450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 67, 75, 90, 134, 135, 150, 201, 225, 270, 335, 402, 450, 603, 670, 675, 1005, 1206, 1350, 1675, 1809, 2010, 3015, 3350, 3618, 5025, 6030, 9045, 10050, 15075, 18090, 30150, 45225

Step-4: Factors of 90470

List of positive integer factors of 90470 that divides 90450 without a remainder.

1, 2, 5, 10, 83, 109, 166, 218, 415, 545, 830, 1090, 9047, 18094, 45235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90450 and 90470. The biggest common factor number is the GCF number.
So the greatest common factor 90450 and 90470 is 10.

Also check out the Least Common Multiple of 90450 and 90470