What is the Greatest Common Factor of 27450 and 27469?

Greatest common factor (GCF) of 27450 and 27469 is 1.

GCF(27450,27469) = 1

We will now calculate the prime factors of 27450 and 27469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27450 and 27469.

How to find the GCF of 27450 and 27469?

We will first find the prime factorization of 27450 and 27469. After we will calculate the factors of 27450 and 27469 and find the biggest common factor number .

Step-1: Prime Factorization of 27450

Prime factors of 27450 are 2, 3, 5, 61. Prime factorization of 27450 in exponential form is:

27450 = 2¹ × 3² × 5² × 61¹

Step-2: Prime Factorization of 27469

Prime factors of 27469 are 13, 2113. Prime factorization of 27469 in exponential form is:

27469 = 13¹ × 2113¹

Step-3: Factors of 27450

List of positive integer factors of 27450 that divides 27450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 61, 75, 90, 122, 150, 183, 225, 305, 366, 450, 549, 610, 915, 1098, 1525, 1830, 2745, 3050, 4575, 5490, 9150, 13725

Step-4: Factors of 27469

List of positive integer factors of 27469 that divides 27450 without a remainder.

1, 13, 2113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27450 and 27469. The biggest common factor number is the GCF number.
So the greatest common factor 27450 and 27469 is 1.

Also check out the Least Common Multiple of 27450 and 27469