What is the Greatest Common Factor of 60770 and 60776?

Greatest common factor (GCF) of 60770 and 60776 is 2.

GCF(60770,60776) = 2

We will now calculate the prime factors of 60770 and 60776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60770 and 60776.

How to find the GCF of 60770 and 60776?

We will first find the prime factorization of 60770 and 60776. After we will calculate the factors of 60770 and 60776 and find the biggest common factor number .

Step-1: Prime Factorization of 60770

Prime factors of 60770 are 2, 5, 59, 103. Prime factorization of 60770 in exponential form is:

60770 = 2¹ × 5¹ × 59¹ × 103¹

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 60770

List of positive integer factors of 60770 that divides 60770 without a remainder.

1, 2, 5, 10, 59, 103, 118, 206, 295, 515, 590, 1030, 6077, 12154, 30385

Step-4: Factors of 60776

List of positive integer factors of 60776 that divides 60770 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 60770 and 60776. The biggest common factor number is the GCF number.
So the greatest common factor 60770 and 60776 is 2.

Also check out the Least Common Multiple of 60770 and 60776