What is the Greatest Common Factor of 63602 and 63613?

Greatest common factor (GCF) of 63602 and 63613 is 11.

GCF(63602,63613) = 11

We will now calculate the prime factors of 63602 and 63613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63602 and 63613.

How to find the GCF of 63602 and 63613?

We will first find the prime factorization of 63602 and 63613. After we will calculate the factors of 63602 and 63613 and find the biggest common factor number .

Step-1: Prime Factorization of 63602

Prime factors of 63602 are 2, 7, 11, 59. Prime factorization of 63602 in exponential form is:

63602 = 2¹ × 7² × 11¹ × 59¹

Step-2: Prime Factorization of 63613

Prime factors of 63613 are 11, 5783. Prime factorization of 63613 in exponential form is:

63613 = 11¹ × 5783¹

Step-3: Factors of 63602

List of positive integer factors of 63602 that divides 63602 without a remainder.

1, 2, 7, 11, 14, 22, 49, 59, 77, 98, 118, 154, 413, 539, 649, 826, 1078, 1298, 2891, 4543, 5782, 9086, 31801

Step-4: Factors of 63613

List of positive integer factors of 63613 that divides 63602 without a remainder.

1, 11, 5783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63602 and 63613. The biggest common factor number is the GCF number.
So the greatest common factor 63602 and 63613 is 11.

Also check out the Least Common Multiple of 63602 and 63613