What is the Greatest Common Factor of 79945 and 79950?

Greatest common factor (GCF) of 79945 and 79950 is 5.

GCF(79945,79950) = 5

We will now calculate the prime factors of 79945 and 79950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79945 and 79950.

How to find the GCF of 79945 and 79950?

We will first find the prime factorization of 79945 and 79950. After we will calculate the factors of 79945 and 79950 and find the biggest common factor number .

Step-1: Prime Factorization of 79945

Prime factors of 79945 are 5, 59, 271. Prime factorization of 79945 in exponential form is:

79945 = 5¹ × 59¹ × 271¹

Step-2: 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-3: Factors of 79945

List of positive integer factors of 79945 that divides 79945 without a remainder.

1, 5, 59, 271, 295, 1355, 15989

Step-4: Factors of 79950

List of positive integer factors of 79950 that divides 79945 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79945 and 79950. The biggest common factor number is the GCF number.
So the greatest common factor 79945 and 79950 is 5.

Also check out the Least Common Multiple of 79945 and 79950