What is the Greatest Common Factor of 27461 and 27475?

Greatest common factor (GCF) of 27461 and 27475 is 7.

GCF(27461,27475) = 7

We will now calculate the prime factors of 27461 and 27475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27461 and 27475.

How to find the GCF of 27461 and 27475?

We will first find the prime factorization of 27461 and 27475. After we will calculate the factors of 27461 and 27475 and find the biggest common factor number .

Step-1: Prime Factorization of 27461

Prime factors of 27461 are 7, 3923. Prime factorization of 27461 in exponential form is:

27461 = 7¹ × 3923¹

Step-2: Prime Factorization of 27475

Prime factors of 27475 are 5, 7, 157. Prime factorization of 27475 in exponential form is:

27475 = 5² × 7¹ × 157¹

Step-3: Factors of 27461

List of positive integer factors of 27461 that divides 27461 without a remainder.

1, 7, 3923

Step-4: Factors of 27475

List of positive integer factors of 27475 that divides 27461 without a remainder.

1, 5, 7, 25, 35, 157, 175, 785, 1099, 3925, 5495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27461 and 27475. The biggest common factor number is the GCF number.
So the greatest common factor 27461 and 27475 is 7.

Also check out the Least Common Multiple of 27461 and 27475