What is the Greatest Common Factor of 60749 and 60762?

Greatest common factor (GCF) of 60749 and 60762 is 13.

GCF(60749,60762) = 13

We will now calculate the prime factors of 60749 and 60762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60749 and 60762.

How to find the GCF of 60749 and 60762?

We will first find the prime factorization of 60749 and 60762. After we will calculate the factors of 60749 and 60762 and find the biggest common factor number .

Step-1: Prime Factorization of 60749

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

60749 = 13¹ × 4673¹

Step-2: Prime Factorization of 60762

Prime factors of 60762 are 2, 3, 13, 19, 41. Prime factorization of 60762 in exponential form is:

60762 = 2¹ × 3¹ × 13¹ × 19¹ × 41¹

Step-3: Factors of 60749

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

1, 13, 4673

Step-4: Factors of 60762

List of positive integer factors of 60762 that divides 60749 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 41, 57, 78, 82, 114, 123, 246, 247, 494, 533, 741, 779, 1066, 1482, 1558, 1599, 2337, 3198, 4674, 10127, 20254, 30381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60749 and 60762. The biggest common factor number is the GCF number.
So the greatest common factor 60749 and 60762 is 13.

Also check out the Least Common Multiple of 60749 and 60762