What is the Greatest Common Factor of 53746 and 53753?

Greatest common factor (GCF) of 53746 and 53753 is 7.

GCF(53746,53753) = 7

We will now calculate the prime factors of 53746 and 53753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53746 and 53753.

How to find the GCF of 53746 and 53753?

We will first find the prime factorization of 53746 and 53753. After we will calculate the factors of 53746 and 53753 and find the biggest common factor number .

Step-1: Prime Factorization of 53746

Prime factors of 53746 are 2, 7, 11, 349. Prime factorization of 53746 in exponential form is:

53746 = 2¹ × 7¹ × 11¹ × 349¹

Step-2: Prime Factorization of 53753

Prime factors of 53753 are 7, 1097. Prime factorization of 53753 in exponential form is:

53753 = 7² × 1097¹

Step-3: Factors of 53746

List of positive integer factors of 53746 that divides 53746 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 349, 698, 2443, 3839, 4886, 7678, 26873

Step-4: Factors of 53753

List of positive integer factors of 53753 that divides 53746 without a remainder.

1, 7, 49, 1097, 7679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53746 and 53753. The biggest common factor number is the GCF number.
So the greatest common factor 53746 and 53753 is 7.

Also check out the Least Common Multiple of 53746 and 53753