What is the Greatest Common Factor of 53762 and 53768?

Greatest common factor (GCF) of 53762 and 53768 is 2.

GCF(53762,53768) = 2

We will now calculate the prime factors of 53762 and 53768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53762 and 53768.

How to find the GCF of 53762 and 53768?

We will first find the prime factorization of 53762 and 53768. After we will calculate the factors of 53762 and 53768 and find the biggest common factor number .

Step-1: Prime Factorization of 53762

Prime factors of 53762 are 2, 26881. Prime factorization of 53762 in exponential form is:

53762 = 2¹ × 26881¹

Step-2: Prime Factorization of 53768

Prime factors of 53768 are 2, 11, 13, 47. Prime factorization of 53768 in exponential form is:

53768 = 2³ × 11¹ × 13¹ × 47¹

Step-3: Factors of 53762

List of positive integer factors of 53762 that divides 53762 without a remainder.

1, 2, 26881

Step-4: Factors of 53768

List of positive integer factors of 53768 that divides 53762 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 47, 52, 88, 94, 104, 143, 188, 286, 376, 517, 572, 611, 1034, 1144, 1222, 2068, 2444, 4136, 4888, 6721, 13442, 26884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53762 and 53768. The biggest common factor number is the GCF number.
So the greatest common factor 53762 and 53768 is 2.

Also check out the Least Common Multiple of 53762 and 53768