What is the Greatest Common Factor of 48690 and 48700?

Greatest common factor (GCF) of 48690 and 48700 is 10.

GCF(48690,48700) = 10

We will now calculate the prime factors of 48690 and 48700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48690 and 48700.

How to find the GCF of 48690 and 48700?

We will first find the prime factorization of 48690 and 48700. After we will calculate the factors of 48690 and 48700 and find the biggest common factor number .

Step-1: Prime Factorization of 48690

Prime factors of 48690 are 2, 3, 5, 541. Prime factorization of 48690 in exponential form is:

48690 = 2¹ × 3² × 5¹ × 541¹

Step-2: Prime Factorization of 48700

Prime factors of 48700 are 2, 5, 487. Prime factorization of 48700 in exponential form is:

48700 = 2² × 5² × 487¹

Step-3: Factors of 48690

List of positive integer factors of 48690 that divides 48690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 541, 1082, 1623, 2705, 3246, 4869, 5410, 8115, 9738, 16230, 24345

Step-4: Factors of 48700

List of positive integer factors of 48700 that divides 48690 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 487, 974, 1948, 2435, 4870, 9740, 12175, 24350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48690 and 48700. The biggest common factor number is the GCF number.
So the greatest common factor 48690 and 48700 is 10.

Also check out the Least Common Multiple of 48690 and 48700