What is the Greatest Common Factor of 60723 and 60736?

Greatest common factor (GCF) of 60723 and 60736 is 13.

GCF(60723,60736) = 13

We will now calculate the prime factors of 60723 and 60736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60723 and 60736.

How to find the GCF of 60723 and 60736?

We will first find the prime factorization of 60723 and 60736. After we will calculate the factors of 60723 and 60736 and find the biggest common factor number .

Step-1: Prime Factorization of 60723

Prime factors of 60723 are 3, 13, 173. Prime factorization of 60723 in exponential form is:

60723 = 3³ × 13¹ × 173¹

Step-2: Prime Factorization of 60736

Prime factors of 60736 are 2, 13, 73. Prime factorization of 60736 in exponential form is:

60736 = 2⁶ × 13¹ × 73¹

Step-3: Factors of 60723

List of positive integer factors of 60723 that divides 60723 without a remainder.

1, 3, 9, 13, 27, 39, 117, 173, 351, 519, 1557, 2249, 4671, 6747, 20241

Step-4: Factors of 60736

List of positive integer factors of 60736 that divides 60723 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 73, 104, 146, 208, 292, 416, 584, 832, 949, 1168, 1898, 2336, 3796, 4672, 7592, 15184, 30368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60723 and 60736. The biggest common factor number is the GCF number.
So the greatest common factor 60723 and 60736 is 13.

Also check out the Least Common Multiple of 60723 and 60736