What is the Greatest Common Factor of 53696 and 53704?

Greatest common factor (GCF) of 53696 and 53704 is 8.

GCF(53696,53704) = 8

We will now calculate the prime factors of 53696 and 53704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53696 and 53704.

How to find the GCF of 53696 and 53704?

We will first find the prime factorization of 53696 and 53704. After we will calculate the factors of 53696 and 53704 and find the biggest common factor number .

Step-1: Prime Factorization of 53696

Prime factors of 53696 are 2, 839. Prime factorization of 53696 in exponential form is:

53696 = 2⁶ × 839¹

Step-2: 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-3: Factors of 53696

List of positive integer factors of 53696 that divides 53696 without a remainder.

1, 2, 4, 8, 16, 32, 64, 839, 1678, 3356, 6712, 13424, 26848

Step-4: Factors of 53704

List of positive integer factors of 53704 that divides 53696 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53696 and 53704. The biggest common factor number is the GCF number.
So the greatest common factor 53696 and 53704 is 8.

Also check out the Least Common Multiple of 53696 and 53704