What is the Greatest Common Factor of 69480 and 69500?

Greatest common factor (GCF) of 69480 and 69500 is 20.

GCF(69480,69500) = 20

We will now calculate the prime factors of 69480 and 69500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69480 and 69500.

How to find the GCF of 69480 and 69500?

We will first find the prime factorization of 69480 and 69500. After we will calculate the factors of 69480 and 69500 and find the biggest common factor number .

Step-1: Prime Factorization of 69480

Prime factors of 69480 are 2, 3, 5, 193. Prime factorization of 69480 in exponential form is:

69480 = 2³ × 3² × 5¹ × 193¹

Step-2: Prime Factorization of 69500

Prime factors of 69500 are 2, 5, 139. Prime factorization of 69500 in exponential form is:

69500 = 2² × 5³ × 139¹

Step-3: Factors of 69480

List of positive integer factors of 69480 that divides 69480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 193, 360, 386, 579, 772, 965, 1158, 1544, 1737, 1930, 2316, 2895, 3474, 3860, 4632, 5790, 6948, 7720, 8685, 11580, 13896, 17370, 23160, 34740

Step-4: Factors of 69500

List of positive integer factors of 69500 that divides 69480 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 139, 250, 278, 500, 556, 695, 1390, 2780, 3475, 6950, 13900, 17375, 34750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69480 and 69500. The biggest common factor number is the GCF number.
So the greatest common factor 69480 and 69500 is 20.

Also check out the Least Common Multiple of 69480 and 69500