What is the Greatest Common Factor of 27629 and 27636?

Greatest common factor (GCF) of 27629 and 27636 is 7.

GCF(27629,27636) = 7

We will now calculate the prime factors of 27629 and 27636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27629 and 27636.

How to find the GCF of 27629 and 27636?

We will first find the prime factorization of 27629 and 27636. After we will calculate the factors of 27629 and 27636 and find the biggest common factor number .

Step-1: Prime Factorization of 27629

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

27629 = 7¹ × 3947¹

Step-2: Prime Factorization of 27636

Prime factors of 27636 are 2, 3, 7, 47. Prime factorization of 27636 in exponential form is:

27636 = 2² × 3¹ × 7² × 47¹

Step-3: Factors of 27629

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

1, 7, 3947

Step-4: Factors of 27636

List of positive integer factors of 27636 that divides 27629 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 49, 84, 94, 98, 141, 147, 188, 196, 282, 294, 329, 564, 588, 658, 987, 1316, 1974, 2303, 3948, 4606, 6909, 9212, 13818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27629 and 27636. The biggest common factor number is the GCF number.
So the greatest common factor 27629 and 27636 is 7.

Also check out the Least Common Multiple of 27629 and 27636