What is the Greatest Common Factor of 48670 and 48690?

Greatest common factor (GCF) of 48670 and 48690 is 10.

GCF(48670,48690) = 10

We will now calculate the prime factors of 48670 and 48690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48670 and 48690.

How to find the GCF of 48670 and 48690?

We will first find the prime factorization of 48670 and 48690. After we will calculate the factors of 48670 and 48690 and find the biggest common factor number .

Step-1: Prime Factorization of 48670

Prime factors of 48670 are 2, 5, 31, 157. Prime factorization of 48670 in exponential form is:

48670 = 2¹ × 5¹ × 31¹ × 157¹

Step-2: 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-3: Factors of 48670

List of positive integer factors of 48670 that divides 48670 without a remainder.

1, 2, 5, 10, 31, 62, 155, 157, 310, 314, 785, 1570, 4867, 9734, 24335

Step-4: Factors of 48690

List of positive integer factors of 48690 that divides 48670 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48670 and 48690. The biggest common factor number is the GCF number.
So the greatest common factor 48670 and 48690 is 10.

Also check out the Least Common Multiple of 48670 and 48690