What is the Greatest Common Factor of 53750 and 53770?

Greatest common factor (GCF) of 53750 and 53770 is 10.

GCF(53750,53770) = 10

We will now calculate the prime factors of 53750 and 53770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53750 and 53770.

How to find the GCF of 53750 and 53770?

We will first find the prime factorization of 53750 and 53770. After we will calculate the factors of 53750 and 53770 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 53770

Prime factors of 53770 are 2, 5, 19, 283. Prime factorization of 53770 in exponential form is:

53770 = 2¹ × 5¹ × 19¹ × 283¹

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 53770

List of positive integer factors of 53770 that divides 53750 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 283, 566, 1415, 2830, 5377, 10754, 26885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53750 and 53770. The biggest common factor number is the GCF number.
So the greatest common factor 53750 and 53770 is 10.

Also check out the Least Common Multiple of 53750 and 53770