What is the Greatest Common Factor of 63415 and 63426?

Greatest common factor (GCF) of 63415 and 63426 is 11.

GCF(63415,63426) = 11

We will now calculate the prime factors of 63415 and 63426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63415 and 63426.

How to find the GCF of 63415 and 63426?

We will first find the prime factorization of 63415 and 63426. After we will calculate the factors of 63415 and 63426 and find the biggest common factor number .

Step-1: Prime Factorization of 63415

Prime factors of 63415 are 5, 11, 1153. Prime factorization of 63415 in exponential form is:

63415 = 5¹ × 11¹ × 1153¹

Step-2: Prime Factorization of 63426

Prime factors of 63426 are 2, 3, 11, 31. Prime factorization of 63426 in exponential form is:

63426 = 2¹ × 3¹ × 11¹ × 31²

Step-3: Factors of 63415

List of positive integer factors of 63415 that divides 63415 without a remainder.

1, 5, 11, 55, 1153, 5765, 12683

Step-4: Factors of 63426

List of positive integer factors of 63426 that divides 63415 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 961, 1023, 1922, 2046, 2883, 5766, 10571, 21142, 31713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63415 and 63426. The biggest common factor number is the GCF number.
So the greatest common factor 63415 and 63426 is 11.

Also check out the Least Common Multiple of 63415 and 63426