What is the Greatest Common Factor of 60618 and 60634?

Greatest common factor (GCF) of 60618 and 60634 is 2.

GCF(60618,60634) = 2

We will now calculate the prime factors of 60618 and 60634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60618 and 60634.

How to find the GCF of 60618 and 60634?

We will first find the prime factorization of 60618 and 60634. After we will calculate the factors of 60618 and 60634 and find the biggest common factor number .

Step-1: Prime Factorization of 60618

Prime factors of 60618 are 2, 3, 10103. Prime factorization of 60618 in exponential form is:

60618 = 2¹ × 3¹ × 10103¹

Step-2: Prime Factorization of 60634

Prime factors of 60634 are 2, 7, 61, 71. Prime factorization of 60634 in exponential form is:

60634 = 2¹ × 7¹ × 61¹ × 71¹

Step-3: Factors of 60618

List of positive integer factors of 60618 that divides 60618 without a remainder.

1, 2, 3, 6, 10103, 20206, 30309

Step-4: Factors of 60634

List of positive integer factors of 60634 that divides 60618 without a remainder.

1, 2, 7, 14, 61, 71, 122, 142, 427, 497, 854, 994, 4331, 8662, 30317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60618 and 60634. The biggest common factor number is the GCF number.
So the greatest common factor 60618 and 60634 is 2.

Also check out the Least Common Multiple of 60618 and 60634