What is the Greatest Common Factor of 60738 and 60754?

Greatest common factor (GCF) of 60738 and 60754 is 2.

GCF(60738,60754) = 2

We will now calculate the prime factors of 60738 and 60754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60738 and 60754.

How to find the GCF of 60738 and 60754?

We will first find the prime factorization of 60738 and 60754. After we will calculate the factors of 60738 and 60754 and find the biggest common factor number .

Step-1: Prime Factorization of 60738

Prime factors of 60738 are 2, 3, 53, 191. Prime factorization of 60738 in exponential form is:

60738 = 2¹ × 3¹ × 53¹ × 191¹

Step-2: Prime Factorization of 60754

Prime factors of 60754 are 2, 37, 821. Prime factorization of 60754 in exponential form is:

60754 = 2¹ × 37¹ × 821¹

Step-3: Factors of 60738

List of positive integer factors of 60738 that divides 60738 without a remainder.

1, 2, 3, 6, 53, 106, 159, 191, 318, 382, 573, 1146, 10123, 20246, 30369

Step-4: Factors of 60754

List of positive integer factors of 60754 that divides 60738 without a remainder.

1, 2, 37, 74, 821, 1642, 30377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60738 and 60754. The biggest common factor number is the GCF number.
So the greatest common factor 60738 and 60754 is 2.

Also check out the Least Common Multiple of 60738 and 60754