What is the Greatest Common Factor of 53754 and 53763?

Greatest common factor (GCF) of 53754 and 53763 is 3.

GCF(53754,53763) = 3

We will now calculate the prime factors of 53754 and 53763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53754 and 53763.

How to find the GCF of 53754 and 53763?

We will first find the prime factorization of 53754 and 53763. After we will calculate the factors of 53754 and 53763 and find the biggest common factor number .

Step-1: Prime Factorization of 53754

Prime factors of 53754 are 2, 3, 17, 31. Prime factorization of 53754 in exponential form is:

53754 = 2¹ × 3¹ × 17² × 31¹

Step-2: Prime Factorization of 53763

Prime factors of 53763 are 3, 17921. Prime factorization of 53763 in exponential form is:

53763 = 3¹ × 17921¹

Step-3: Factors of 53754

List of positive integer factors of 53754 that divides 53754 without a remainder.

1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 289, 527, 578, 867, 1054, 1581, 1734, 3162, 8959, 17918, 26877

Step-4: Factors of 53763

List of positive integer factors of 53763 that divides 53754 without a remainder.

1, 3, 17921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53754 and 53763. The biggest common factor number is the GCF number.
So the greatest common factor 53754 and 53763 is 3.

Also check out the Least Common Multiple of 53754 and 53763