What is the Greatest Common Factor of 27615 and 27629?

Greatest common factor (GCF) of 27615 and 27629 is 7.

GCF(27615,27629) = 7

We will now calculate the prime factors of 27615 and 27629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27615 and 27629.

How to find the GCF of 27615 and 27629?

We will first find the prime factorization of 27615 and 27629. After we will calculate the factors of 27615 and 27629 and find the biggest common factor number .

Step-1: Prime Factorization of 27615

Prime factors of 27615 are 3, 5, 7, 263. Prime factorization of 27615 in exponential form is:

27615 = 3¹ × 5¹ × 7¹ × 263¹

Step-2: Prime Factorization of 27629

Prime factors of 27629 are 7, 3947. Prime factorization of 27629 in exponential form is:

27629 = 7¹ × 3947¹

Step-3: Factors of 27615

List of positive integer factors of 27615 that divides 27615 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 263, 789, 1315, 1841, 3945, 5523, 9205

Step-4: Factors of 27629

List of positive integer factors of 27629 that divides 27615 without a remainder.

1, 7, 3947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27615 and 27629. The biggest common factor number is the GCF number.
So the greatest common factor 27615 and 27629 is 7.

Also check out the Least Common Multiple of 27615 and 27629