What is the Greatest Common Factor of 52500 and 52516?

Greatest common factor (GCF) of 52500 and 52516 is 4.

GCF(52500,52516) = 4

We will now calculate the prime factors of 52500 and 52516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52500 and 52516.

How to find the GCF of 52500 and 52516?

We will first find the prime factorization of 52500 and 52516. After we will calculate the factors of 52500 and 52516 and find the biggest common factor number .

Step-1: Prime Factorization of 52500

Prime factors of 52500 are 2, 3, 5, 7. Prime factorization of 52500 in exponential form is:

52500 = 2² × 3¹ × 5⁴ × 7¹

Step-2: Prime Factorization of 52516

Prime factors of 52516 are 2, 19, 691. Prime factorization of 52516 in exponential form is:

52516 = 2² × 19¹ × 691¹

Step-3: Factors of 52500

List of positive integer factors of 52500 that divides 52500 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 125, 140, 150, 175, 210, 250, 300, 350, 375, 420, 500, 525, 625, 700, 750, 875, 1050, 1250, 1500, 1750, 1875, 2100, 2500, 2625, 3500, 3750, 4375, 5250, 7500, 8750, 10500, 13125, 17500, 26250

Step-4: Factors of 52516

List of positive integer factors of 52516 that divides 52500 without a remainder.

1, 2, 4, 19, 38, 76, 691, 1382, 2764, 13129, 26258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52500 and 52516. The biggest common factor number is the GCF number.
So the greatest common factor 52500 and 52516 is 4.

Also check out the Least Common Multiple of 52500 and 52516