What is the Greatest Common Factor of 60654 and 60674?

Greatest common factor (GCF) of 60654 and 60674 is 2.

GCF(60654,60674) = 2

We will now calculate the prime factors of 60654 and 60674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60654 and 60674.

How to find the GCF of 60654 and 60674?

We will first find the prime factorization of 60654 and 60674. After we will calculate the factors of 60654 and 60674 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 60674

Prime factors of 60674 are 2, 23, 1319. Prime factorization of 60674 in exponential form is:

60674 = 2¹ × 23¹ × 1319¹

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 60674

List of positive integer factors of 60674 that divides 60654 without a remainder.

1, 2, 23, 46, 1319, 2638, 30337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60654 and 60674. The biggest common factor number is the GCF number.
So the greatest common factor 60654 and 60674 is 2.

Also check out the Least Common Multiple of 60654 and 60674