What is the Greatest Common Factor of 56490 and 56500?

Greatest common factor (GCF) of 56490 and 56500 is 10.

GCF(56490,56500) = 10

We will now calculate the prime factors of 56490 and 56500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56490 and 56500.

How to find the GCF of 56490 and 56500?

We will first find the prime factorization of 56490 and 56500. After we will calculate the factors of 56490 and 56500 and find the biggest common factor number .

Step-1: Prime Factorization of 56490

Prime factors of 56490 are 2, 3, 5, 7, 269. Prime factorization of 56490 in exponential form is:

56490 = 2¹ × 3¹ × 5¹ × 7¹ × 269¹

Step-2: Prime Factorization of 56500

Prime factors of 56500 are 2, 5, 113. Prime factorization of 56500 in exponential form is:

56500 = 2² × 5³ × 113¹

Step-3: Factors of 56490

List of positive integer factors of 56490 that divides 56490 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 269, 538, 807, 1345, 1614, 1883, 2690, 3766, 4035, 5649, 8070, 9415, 11298, 18830, 28245

Step-4: Factors of 56500

List of positive integer factors of 56500 that divides 56490 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 113, 125, 226, 250, 452, 500, 565, 1130, 2260, 2825, 5650, 11300, 14125, 28250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56490 and 56500. The biggest common factor number is the GCF number.
So the greatest common factor 56490 and 56500 is 10.

Also check out the Least Common Multiple of 56490 and 56500