What is the Greatest Common Factor of 79980 and 79990?

Greatest common factor (GCF) of 79980 and 79990 is 10.

GCF(79980,79990) = 10

We will now calculate the prime factors of 79980 and 79990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79980 and 79990.

How to find the GCF of 79980 and 79990?

We will first find the prime factorization of 79980 and 79990. After we will calculate the factors of 79980 and 79990 and find the biggest common factor number .

Step-1: Prime Factorization of 79980

Prime factors of 79980 are 2, 3, 5, 31, 43. Prime factorization of 79980 in exponential form is:

79980 = 2² × 3¹ × 5¹ × 31¹ × 43¹

Step-2: Prime Factorization of 79990

Prime factors of 79990 are 2, 5, 19, 421. Prime factorization of 79990 in exponential form is:

79990 = 2¹ × 5¹ × 19¹ × 421¹

Step-3: Factors of 79980

List of positive integer factors of 79980 that divides 79980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 43, 60, 62, 86, 93, 124, 129, 155, 172, 186, 215, 258, 310, 372, 430, 465, 516, 620, 645, 860, 930, 1290, 1333, 1860, 2580, 2666, 3999, 5332, 6665, 7998, 13330, 15996, 19995, 26660, 39990

Step-4: Factors of 79990

List of positive integer factors of 79990 that divides 79980 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 421, 842, 2105, 4210, 7999, 15998, 39995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79980 and 79990. The biggest common factor number is the GCF number.
So the greatest common factor 79980 and 79990 is 10.

Also check out the Least Common Multiple of 79980 and 79990