What is the Greatest Common Factor of 60608 and 60614?

Greatest common factor (GCF) of 60608 and 60614 is 2.

GCF(60608,60614) = 2

We will now calculate the prime factors of 60608 and 60614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60608 and 60614.

How to find the GCF of 60608 and 60614?

We will first find the prime factorization of 60608 and 60614. After we will calculate the factors of 60608 and 60614 and find the biggest common factor number .

Step-1: Prime Factorization of 60608

Prime factors of 60608 are 2, 947. Prime factorization of 60608 in exponential form is:

60608 = 2⁶ × 947¹

Step-2: Prime Factorization of 60614

Prime factors of 60614 are 2, 30307. Prime factorization of 60614 in exponential form is:

60614 = 2¹ × 30307¹

Step-3: Factors of 60608

List of positive integer factors of 60608 that divides 60608 without a remainder.

1, 2, 4, 8, 16, 32, 64, 947, 1894, 3788, 7576, 15152, 30304

Step-4: Factors of 60614

List of positive integer factors of 60614 that divides 60608 without a remainder.

1, 2, 30307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60608 and 60614. The biggest common factor number is the GCF number.
So the greatest common factor 60608 and 60614 is 2.

Also check out the Least Common Multiple of 60608 and 60614