What is the Greatest Common Factor of 62629 and 62636?

Greatest common factor (GCF) of 62629 and 62636 is 7.

GCF(62629,62636) = 7

We will now calculate the prime factors of 62629 and 62636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62629 and 62636.

How to find the GCF of 62629 and 62636?

We will first find the prime factorization of 62629 and 62636. After we will calculate the factors of 62629 and 62636 and find the biggest common factor number .

Step-1: Prime Factorization of 62629

Prime factors of 62629 are 7, 23, 389. Prime factorization of 62629 in exponential form is:

62629 = 7¹ × 23¹ × 389¹

Step-2: Prime Factorization of 62636

Prime factors of 62636 are 2, 7, 2237. Prime factorization of 62636 in exponential form is:

62636 = 2² × 7¹ × 2237¹

Step-3: Factors of 62629

List of positive integer factors of 62629 that divides 62629 without a remainder.

1, 7, 23, 161, 389, 2723, 8947

Step-4: Factors of 62636

List of positive integer factors of 62636 that divides 62629 without a remainder.

1, 2, 4, 7, 14, 28, 2237, 4474, 8948, 15659, 31318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62629 and 62636. The biggest common factor number is the GCF number.
So the greatest common factor 62629 and 62636 is 7.

Also check out the Least Common Multiple of 62629 and 62636