What is the Greatest Common Factor of 81960 and 81970?

Greatest common factor (GCF) of 81960 and 81970 is 10.

GCF(81960,81970) = 10

We will now calculate the prime factors of 81960 and 81970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81960 and 81970.

How to find the GCF of 81960 and 81970?

We will first find the prime factorization of 81960 and 81970. After we will calculate the factors of 81960 and 81970 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81970

Prime factors of 81970 are 2, 5, 7, 1171. Prime factorization of 81970 in exponential form is:

81970 = 2¹ × 5¹ × 7¹ × 1171¹

Step-3: Factors of 81960

List of positive integer factors of 81960 that divides 81960 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

Step-4: Factors of 81970

List of positive integer factors of 81970 that divides 81960 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1171, 2342, 5855, 8197, 11710, 16394, 40985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81960 and 81970. The biggest common factor number is the GCF number.
So the greatest common factor 81960 and 81970 is 10.

Also check out the Least Common Multiple of 81960 and 81970