What is the Greatest Common Factor of 27461 and 27468?

Greatest common factor (GCF) of 27461 and 27468 is 7.

GCF(27461,27468) = 7

We will now calculate the prime factors of 27461 and 27468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27461 and 27468.

How to find the GCF of 27461 and 27468?

We will first find the prime factorization of 27461 and 27468. After we will calculate the factors of 27461 and 27468 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 27468

Prime factors of 27468 are 2, 3, 7, 109. Prime factorization of 27468 in exponential form is:

27468 = 2² × 3² × 7¹ × 109¹

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 27468

List of positive integer factors of 27468 that divides 27461 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 109, 126, 218, 252, 327, 436, 654, 763, 981, 1308, 1526, 1962, 2289, 3052, 3924, 4578, 6867, 9156, 13734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27461 and 27468. The biggest common factor number is the GCF number.
So the greatest common factor 27461 and 27468 is 7.

Also check out the Least Common Multiple of 27461 and 27468