What is the Greatest Common Factor of 53704 and 53711?

Greatest common factor (GCF) of 53704 and 53711 is 7.

GCF(53704,53711) = 7

We will now calculate the prime factors of 53704 and 53711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53704 and 53711.

How to find the GCF of 53704 and 53711?

We will first find the prime factorization of 53704 and 53711. After we will calculate the factors of 53704 and 53711 and find the biggest common factor number .

Step-1: Prime Factorization of 53704

Prime factors of 53704 are 2, 7, 137. Prime factorization of 53704 in exponential form is:

53704 = 2³ × 7² × 137¹

Step-2: Prime Factorization of 53711

Prime factors of 53711 are 7, 7673. Prime factorization of 53711 in exponential form is:

53711 = 7¹ × 7673¹

Step-3: Factors of 53704

List of positive integer factors of 53704 that divides 53704 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 137, 196, 274, 392, 548, 959, 1096, 1918, 3836, 6713, 7672, 13426, 26852

Step-4: Factors of 53711

List of positive integer factors of 53711 that divides 53704 without a remainder.

1, 7, 7673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53704 and 53711. The biggest common factor number is the GCF number.
So the greatest common factor 53704 and 53711 is 7.

Also check out the Least Common Multiple of 53704 and 53711