What is the Greatest Common Factor of 60752 and 60766?

Greatest common factor (GCF) of 60752 and 60766 is 2.

GCF(60752,60766) = 2

We will now calculate the prime factors of 60752 and 60766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60752 and 60766.

How to find the GCF of 60752 and 60766?

We will first find the prime factorization of 60752 and 60766. After we will calculate the factors of 60752 and 60766 and find the biggest common factor number .

Step-1: Prime Factorization of 60752

Prime factors of 60752 are 2, 3797. Prime factorization of 60752 in exponential form is:

60752 = 2⁴ × 3797¹

Step-2: Prime Factorization of 60766

Prime factors of 60766 are 2, 23, 1321. Prime factorization of 60766 in exponential form is:

60766 = 2¹ × 23¹ × 1321¹

Step-3: Factors of 60752

List of positive integer factors of 60752 that divides 60752 without a remainder.

1, 2, 4, 8, 16, 3797, 7594, 15188, 30376

Step-4: Factors of 60766

List of positive integer factors of 60766 that divides 60752 without a remainder.

1, 2, 23, 46, 1321, 2642, 30383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60752 and 60766. The biggest common factor number is the GCF number.
So the greatest common factor 60752 and 60766 is 2.

Also check out the Least Common Multiple of 60752 and 60766