What is the Greatest Common Factor of 60736 and 60749?

Greatest common factor (GCF) of 60736 and 60749 is 13.

GCF(60736,60749) = 13

We will now calculate the prime factors of 60736 and 60749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60736 and 60749.

How to find the GCF of 60736 and 60749?

We will first find the prime factorization of 60736 and 60749. After we will calculate the factors of 60736 and 60749 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60749

Prime factors of 60749 are 13, 4673. Prime factorization of 60749 in exponential form is:

60749 = 13¹ × 4673¹

Step-3: Factors of 60736

List of positive integer factors of 60736 that divides 60736 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

Step-4: Factors of 60749

List of positive integer factors of 60749 that divides 60736 without a remainder.

1, 13, 4673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60736 and 60749. The biggest common factor number is the GCF number.
So the greatest common factor 60736 and 60749 is 13.

Also check out the Least Common Multiple of 60736 and 60749