What is the Greatest Common Factor of 73770 and 73790?

Greatest common factor (GCF) of 73770 and 73790 is 10.

GCF(73770,73790) = 10

We will now calculate the prime factors of 73770 and 73790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73770 and 73790.

How to find the GCF of 73770 and 73790?

We will first find the prime factorization of 73770 and 73790. After we will calculate the factors of 73770 and 73790 and find the biggest common factor number .

Step-1: Prime Factorization of 73770

Prime factors of 73770 are 2, 3, 5, 2459. Prime factorization of 73770 in exponential form is:

73770 = 2¹ × 3¹ × 5¹ × 2459¹

Step-2: Prime Factorization of 73790

Prime factors of 73790 are 2, 5, 47, 157. Prime factorization of 73790 in exponential form is:

73790 = 2¹ × 5¹ × 47¹ × 157¹

Step-3: Factors of 73770

List of positive integer factors of 73770 that divides 73770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2459, 4918, 7377, 12295, 14754, 24590, 36885

Step-4: Factors of 73790

List of positive integer factors of 73790 that divides 73770 without a remainder.

1, 2, 5, 10, 47, 94, 157, 235, 314, 470, 785, 1570, 7379, 14758, 36895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73770 and 73790. The biggest common factor number is the GCF number.
So the greatest common factor 73770 and 73790 is 10.

Also check out the Least Common Multiple of 73770 and 73790