What is the Greatest Common Factor of 53750 and 53756?

Greatest common factor (GCF) of 53750 and 53756 is 2.

GCF(53750,53756) = 2

We will now calculate the prime factors of 53750 and 53756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53750 and 53756.

How to find the GCF of 53750 and 53756?

We will first find the prime factorization of 53750 and 53756. After we will calculate the factors of 53750 and 53756 and find the biggest common factor number .

Step-1: Prime Factorization of 53750

Prime factors of 53750 are 2, 5, 43. Prime factorization of 53750 in exponential form is:

53750 = 2¹ × 5⁴ × 43¹

Step-2: Prime Factorization of 53756

Prime factors of 53756 are 2, 89, 151. Prime factorization of 53756 in exponential form is:

53756 = 2² × 89¹ × 151¹

Step-3: Factors of 53750

List of positive integer factors of 53750 that divides 53750 without a remainder.

1, 2, 5, 10, 25, 43, 50, 86, 125, 215, 250, 430, 625, 1075, 1250, 2150, 5375, 10750, 26875

Step-4: Factors of 53756

List of positive integer factors of 53756 that divides 53750 without a remainder.

1, 2, 4, 89, 151, 178, 302, 356, 604, 13439, 26878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53750 and 53756. The biggest common factor number is the GCF number.
So the greatest common factor 53750 and 53756 is 2.

Also check out the Least Common Multiple of 53750 and 53756