What is the Greatest Common Factor of 60753 and 60764?

Greatest common factor (GCF) of 60753 and 60764 is 11.

GCF(60753,60764) = 11

We will now calculate the prime factors of 60753 and 60764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60753 and 60764.

How to find the GCF of 60753 and 60764?

We will first find the prime factorization of 60753 and 60764. After we will calculate the factors of 60753 and 60764 and find the biggest common factor number .

Step-1: Prime Factorization of 60753

Prime factors of 60753 are 3, 7, 11, 263. Prime factorization of 60753 in exponential form is:

60753 = 3¹ × 7¹ × 11¹ × 263¹

Step-2: Prime Factorization of 60764

Prime factors of 60764 are 2, 11, 1381. Prime factorization of 60764 in exponential form is:

60764 = 2² × 11¹ × 1381¹

Step-3: Factors of 60753

List of positive integer factors of 60753 that divides 60753 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 263, 789, 1841, 2893, 5523, 8679, 20251

Step-4: Factors of 60764

List of positive integer factors of 60764 that divides 60753 without a remainder.

1, 2, 4, 11, 22, 44, 1381, 2762, 5524, 15191, 30382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60753 and 60764. The biggest common factor number is the GCF number.
So the greatest common factor 60753 and 60764 is 11.

Also check out the Least Common Multiple of 60753 and 60764