What is the Greatest Common Factor of 60614 and 60620?

Greatest common factor (GCF) of 60614 and 60620 is 2.

GCF(60614,60620) = 2

We will now calculate the prime factors of 60614 and 60620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60614 and 60620.

How to find the GCF of 60614 and 60620?

We will first find the prime factorization of 60614 and 60620. After we will calculate the factors of 60614 and 60620 and find the biggest common factor number .

Step-1: Prime Factorization of 60614

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

60614 = 2¹ × 30307¹

Step-2: Prime Factorization of 60620

Prime factors of 60620 are 2, 5, 7, 433. Prime factorization of 60620 in exponential form is:

60620 = 2² × 5¹ × 7¹ × 433¹

Step-3: Factors of 60614

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

1, 2, 30307

Step-4: Factors of 60620

List of positive integer factors of 60620 that divides 60614 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 433, 866, 1732, 2165, 3031, 4330, 6062, 8660, 12124, 15155, 30310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60614 and 60620. The biggest common factor number is the GCF number.
So the greatest common factor 60614 and 60620 is 2.

Also check out the Least Common Multiple of 60614 and 60620