What is the Greatest Common Factor of 63609 and 63626?

Greatest common factor (GCF) of 63609 and 63626 is 1.

GCF(63609,63626) = 1

We will now calculate the prime factors of 63609 and 63626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63609 and 63626.

How to find the GCF of 63609 and 63626?

We will first find the prime factorization of 63609 and 63626. After we will calculate the factors of 63609 and 63626 and find the biggest common factor number .

Step-1: Prime Factorization of 63609

Prime factors of 63609 are 3, 7, 13, 233. Prime factorization of 63609 in exponential form is:

63609 = 3¹ × 7¹ × 13¹ × 233¹

Step-2: Prime Factorization of 63626

Prime factors of 63626 are 2, 29, 1097. Prime factorization of 63626 in exponential form is:

63626 = 2¹ × 29¹ × 1097¹

Step-3: Factors of 63609

List of positive integer factors of 63609 that divides 63609 without a remainder.

1, 3, 7, 13, 21, 39, 91, 233, 273, 699, 1631, 3029, 4893, 9087, 21203

Step-4: Factors of 63626

List of positive integer factors of 63626 that divides 63609 without a remainder.

1, 2, 29, 58, 1097, 2194, 31813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63609 and 63626. The biggest common factor number is the GCF number.
So the greatest common factor 63609 and 63626 is 1.

Also check out the Least Common Multiple of 63609 and 63626