What is the Greatest Common Factor of 79760 and 79780?

Greatest common factor (GCF) of 79760 and 79780 is 20.

GCF(79760,79780) = 20

We will now calculate the prime factors of 79760 and 79780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79760 and 79780.

How to find the GCF of 79760 and 79780?

We will first find the prime factorization of 79760 and 79780. After we will calculate the factors of 79760 and 79780 and find the biggest common factor number .

Step-1: Prime Factorization of 79760

Prime factors of 79760 are 2, 5, 997. Prime factorization of 79760 in exponential form is:

79760 = 2⁴ × 5¹ × 997¹

Step-2: 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-3: Factors of 79760

List of positive integer factors of 79760 that divides 79760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 997, 1994, 3988, 4985, 7976, 9970, 15952, 19940, 39880

Step-4: Factors of 79780

List of positive integer factors of 79780 that divides 79760 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79760 and 79780. The biggest common factor number is the GCF number.
So the greatest common factor 79760 and 79780 is 20.

Also check out the Least Common Multiple of 79760 and 79780