What is the Greatest Common Factor of 20750 and 20760?

Greatest common factor (GCF) of 20750 and 20760 is 10.

GCF(20750,20760) = 10

We will now calculate the prime factors of 20750 and 20760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20750 and 20760.

How to find the GCF of 20750 and 20760?

We will first find the prime factorization of 20750 and 20760. After we will calculate the factors of 20750 and 20760 and find the biggest common factor number .

Step-1: Prime Factorization of 20750

Prime factors of 20750 are 2, 5, 83. Prime factorization of 20750 in exponential form is:

20750 = 2¹ × 5³ × 83¹

Step-2: Prime Factorization of 20760

Prime factors of 20760 are 2, 3, 5, 173. Prime factorization of 20760 in exponential form is:

20760 = 2³ × 3¹ × 5¹ × 173¹

Step-3: Factors of 20750

List of positive integer factors of 20750 that divides 20750 without a remainder.

1, 2, 5, 10, 25, 50, 83, 125, 166, 250, 415, 830, 2075, 4150, 10375

Step-4: Factors of 20760

List of positive integer factors of 20760 that divides 20750 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 173, 346, 519, 692, 865, 1038, 1384, 1730, 2076, 2595, 3460, 4152, 5190, 6920, 10380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20750 and 20760. The biggest common factor number is the GCF number.
So the greatest common factor 20750 and 20760 is 10.

Also check out the Least Common Multiple of 20750 and 20760