What is the Greatest Common Factor of 60654 and 60658?

Greatest common factor (GCF) of 60654 and 60658 is 2.

GCF(60654,60658) = 2

We will now calculate the prime factors of 60654 and 60658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60654 and 60658.

How to find the GCF of 60654 and 60658?

We will first find the prime factorization of 60654 and 60658. After we will calculate the factors of 60654 and 60658 and find the biggest common factor number .

Step-1: Prime Factorization of 60654

Prime factors of 60654 are 2, 3, 11, 919. Prime factorization of 60654 in exponential form is:

60654 = 2¹ × 3¹ × 11¹ × 919¹

Step-2: Prime Factorization of 60658

Prime factors of 60658 are 2, 13, 2333. Prime factorization of 60658 in exponential form is:

60658 = 2¹ × 13¹ × 2333¹

Step-3: Factors of 60654

List of positive integer factors of 60654 that divides 60654 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 919, 1838, 2757, 5514, 10109, 20218, 30327

Step-4: Factors of 60658

List of positive integer factors of 60658 that divides 60654 without a remainder.

1, 2, 13, 26, 2333, 4666, 30329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60654 and 60658. The biggest common factor number is the GCF number.
So the greatest common factor 60654 and 60658 is 2.

Also check out the Least Common Multiple of 60654 and 60658