What is the Greatest Common Factor of 27450 and 27458?

Greatest common factor (GCF) of 27450 and 27458 is 2.

GCF(27450,27458) = 2

We will now calculate the prime factors of 27450 and 27458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27450 and 27458.

How to find the GCF of 27450 and 27458?

We will first find the prime factorization of 27450 and 27458. After we will calculate the factors of 27450 and 27458 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 27458

Prime factors of 27458 are 2, 13729. Prime factorization of 27458 in exponential form is:

27458 = 2¹ × 13729¹

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 27458

List of positive integer factors of 27458 that divides 27450 without a remainder.

1, 2, 13729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27450 and 27458. The biggest common factor number is the GCF number.
So the greatest common factor 27450 and 27458 is 2.

Also check out the Least Common Multiple of 27450 and 27458