What is the Greatest Common Factor of 81950 and 81960?

Greatest common factor (GCF) of 81950 and 81960 is 10.

GCF(81950,81960) = 10

We will now calculate the prime factors of 81950 and 81960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81950 and 81960.

How to find the GCF of 81950 and 81960?

We will first find the prime factorization of 81950 and 81960. After we will calculate the factors of 81950 and 81960 and find the biggest common factor number .

Step-1: Prime Factorization of 81950

Prime factors of 81950 are 2, 5, 11, 149. Prime factorization of 81950 in exponential form is:

81950 = 2¹ × 5² × 11¹ × 149¹

Step-2: Prime Factorization of 81960

Prime factors of 81960 are 2, 3, 5, 683. Prime factorization of 81960 in exponential form is:

81960 = 2³ × 3¹ × 5¹ × 683¹

Step-3: Factors of 81950

List of positive integer factors of 81950 that divides 81950 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 149, 275, 298, 550, 745, 1490, 1639, 3278, 3725, 7450, 8195, 16390, 40975

Step-4: Factors of 81960

List of positive integer factors of 81960 that divides 81950 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 683, 1366, 2049, 2732, 3415, 4098, 5464, 6830, 8196, 10245, 13660, 16392, 20490, 27320, 40980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81950 and 81960. The biggest common factor number is the GCF number.
So the greatest common factor 81950 and 81960 is 10.

Also check out the Least Common Multiple of 81950 and 81960