What is the Greatest Common Factor of 60766 and 60776?

Greatest common factor (GCF) of 60766 and 60776 is 2.

GCF(60766,60776) = 2

We will now calculate the prime factors of 60766 and 60776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60766 and 60776.

How to find the GCF of 60766 and 60776?

We will first find the prime factorization of 60766 and 60776. After we will calculate the factors of 60766 and 60776 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60776

Prime factors of 60776 are 2, 71, 107. Prime factorization of 60776 in exponential form is:

60776 = 2³ × 71¹ × 107¹

Step-3: Factors of 60766

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

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

Step-4: Factors of 60776

List of positive integer factors of 60776 that divides 60766 without a remainder.

1, 2, 4, 8, 71, 107, 142, 214, 284, 428, 568, 856, 7597, 15194, 30388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60766 and 60776. The biggest common factor number is the GCF number.
So the greatest common factor 60766 and 60776 is 2.

Also check out the Least Common Multiple of 60766 and 60776