What is the Greatest Common Factor of 79950 and 79960?

Greatest common factor (GCF) of 79950 and 79960 is 10.

GCF(79950,79960) = 10

We will now calculate the prime factors of 79950 and 79960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79950 and 79960.

How to find the GCF of 79950 and 79960?

We will first find the prime factorization of 79950 and 79960. After we will calculate the factors of 79950 and 79960 and find the biggest common factor number .

Step-1: Prime Factorization of 79950

Prime factors of 79950 are 2, 3, 5, 13, 41. Prime factorization of 79950 in exponential form is:

79950 = 2¹ × 3¹ × 5² × 13¹ × 41¹

Step-2: Prime Factorization of 79960

Prime factors of 79960 are 2, 5, 1999. Prime factorization of 79960 in exponential form is:

79960 = 2³ × 5¹ × 1999¹

Step-3: Factors of 79950

List of positive integer factors of 79950 that divides 79950 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 41, 50, 65, 75, 78, 82, 123, 130, 150, 195, 205, 246, 325, 390, 410, 533, 615, 650, 975, 1025, 1066, 1230, 1599, 1950, 2050, 2665, 3075, 3198, 5330, 6150, 7995, 13325, 15990, 26650, 39975

Step-4: Factors of 79960

List of positive integer factors of 79960 that divides 79950 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1999, 3998, 7996, 9995, 15992, 19990, 39980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79950 and 79960. The biggest common factor number is the GCF number.
So the greatest common factor 79950 and 79960 is 10.

Also check out the Least Common Multiple of 79950 and 79960