What is the Greatest Common Factor of 79780 and 79790?

Greatest common factor (GCF) of 79780 and 79790 is 10.

GCF(79780,79790) = 10

We will now calculate the prime factors of 79780 and 79790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79780 and 79790.

How to find the GCF of 79780 and 79790?

We will first find the prime factorization of 79780 and 79790. After we will calculate the factors of 79780 and 79790 and find the biggest common factor number .

Step-1: Prime Factorization of 79780

Prime factors of 79780 are 2, 5, 3989. Prime factorization of 79780 in exponential form is:

79780 = 2² × 5¹ × 3989¹

Step-2: Prime Factorization of 79790

Prime factors of 79790 are 2, 5, 79, 101. Prime factorization of 79790 in exponential form is:

79790 = 2¹ × 5¹ × 79¹ × 101¹

Step-3: Factors of 79780

List of positive integer factors of 79780 that divides 79780 without a remainder.

1, 2, 4, 5, 10, 20, 3989, 7978, 15956, 19945, 39890

Step-4: Factors of 79790

List of positive integer factors of 79790 that divides 79780 without a remainder.

1, 2, 5, 10, 79, 101, 158, 202, 395, 505, 790, 1010, 7979, 15958, 39895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79780 and 79790. The biggest common factor number is the GCF number.
So the greatest common factor 79780 and 79790 is 10.

Also check out the Least Common Multiple of 79780 and 79790